This question tests one's ability to understand the conversion between radians and degrees. It relies on the understanding that the measure of an angle can be described using the properties of the unit circle and arc length. Furthermore, questions involving concepts dealing with trigonometry use the foundation of corresponding identities with angles that come from the unit circle. Recall that the unit circle is a circle that has a radius of one and is centered at the origin. Each  pair that lies on the circle can be found by creating a right triangle that has a base on the -axis and a hypotenuse that is from the center of the circle to the desired point on the edge of the circle. The height of the triangle is the vertical line that connects the point on the circle's edge to the -axis.

For the purpose of Common Core Standards, understanding radian measure of an angle as the length of the arc on the unit circle subtended by the angle, falls within the Cluster A of extend the domain of trigonometric functions using the unit circle concept (CCSS.MATH.CONTENT.HSF.TF.A).

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Identify the general formula for unit conversion between radians and degrees.

Therefore to convert from degrees to radian is,

Step 2: Identify the values given in the question.

Step 3: Substitute the value from step 2 into the formula from step 1.

The degree measurement in the numerator and denominator cancel out. 

From here, simplify the fraction by finding common factors that exist in both the numerator and denominator.

This question is testing one's ability to understand the trigonometric relationships and how the relate to the unit circle for solving problems.

For the purpose of Common Core Standards, "Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle." falls within the Cluster A of "Extend the domain of trigonometric functions using the unit circle" concept (CCSS.MATH.CONTENT.HSF-TF.A.2). 

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Plot the line that connects the origin to the point .

Step 2: Use right triangles and the unit circle to identify the trigonometric characteristics of the describe situation. 

The unit circle is an extremely helpful tool in solving trigonometric problems. For the purpose of trigonometry, the unit circle is located at the origin and has a radius of one unit. This is because right triangles can be formed using the x axis as one leg of the triangle and the line from the origin to a point on the circle as the hypotenuse with a measurement of one.

Therefore, the point on the circle has coordinates of  for the angle that is created by the x axis and the hypotenuse. It is important to know that

 and can be found using the triangle that is created on the unit circle.

For this particular question,

Step 3: Answer the question.

This question is testing one's ability to understand the trigonometric relationships and how the relate to the unit circle for solving problems.

For the purpose of Common Core Standards, "Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle." falls within the Cluster A of "Extend the domain of trigonometric functions using the unit circle" concept (CCSS.MATH.CONTENT.HSF-TF.A.2). 

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Plot the line that connects the origin to the point .

Step 2: Use right triangles and the unit circle to identify the trigonometric characteristics of the describe situation. 

The unit circle is an extremely helpful tool in solving trigonometric problems. For the purpose of trigonometry, the unit circle is located at the origin and has a radius of one unit. This is because right triangles can be formed using the x axis as one leg of the triangle and the line from the origin to a point on the circle as the hypotenuse with a measurement of one.

Therefore, the point on the circle has coordinates of  for the angle that is created by the x axis and the hypotenuse. It is important to know that

 and can be found using the triangle that is created on the unit circle.

For this particular question,

Step 3: Answer the question.

This question is testing one's ability to understand the trigonometric relationships and how the relate to the unit circle for solving problems.

For the purpose of Common Core Standards, "Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle." falls within the Cluster A of "Extend the domain of trigonometric functions using the unit circle" concept (CCSS.MATH.CONTENT.HSF-TF.A.2). 

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Plot the line that connects the origin to the point .

Step 2: Use right triangles and the unit circle to identify the trigonometric characteristics of the describe situation. 

The unit circle is an extremely helpful tool in solving trigonometric problems. For the purpose of trigonometry, the unit circle is located at the origin and has a radius of one unit. This is because right triangles can be formed using the x axis as one leg of the triangle and the line from the origin to a point on the circle as the hypotenuse with a measurement of one.

Therefore, the point on the circle has coordinates of  for the angle that is created by the x axis and the hypotenuse. It is important to know that

 and can be found using the triangle that is created on the unit circle.

Recall that using trigonometric identities tangent is,

For this particular question,

Step 3: Answer the question.

This question is testing one's ability to understand the trigonometric relationships and how the relate to the unit circle for solving problems.

For the purpose of Common Core Standards, "Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle." falls within the Cluster A of "Extend the domain of trigonometric functions using the unit circle" concept (CCSS.MATH.CONTENT.HSF-TF.A.2). 

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Plot the line that connects the origin to the point .

Step 2: Use right triangles and the unit circle to identify the trigonometric characteristics of the describe situation. 

The unit circle is an extremely helpful tool in solving trigonometric problems. For the purpose of trigonometry, the unit circle is located at the origin and has a radius of one unit. This is because right triangles can be formed using the x axis as one leg of the triangle and the line from the origin to a point on the circle as the hypotenuse with a measurement of one.

Therefore, the point on the circle has coordinates of  for the angle that is created by the x axis and the hypotenuse. It is important to know that

 and can be found using the triangle that is created on the unit circle.

For this particular question,

Step 3: Answer the question.

This question is testing one's ability to understand the trigonometric relationships and how the relate to the unit circle for solving problems.

For the purpose of Common Core Standards, "Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle." falls within the Cluster A of "Extend the domain of trigonometric functions using the unit circle" concept (CCSS.MATH.CONTENT.HSF-TF.A.2). 

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Plot the line that connects the origin to the point .

Step 2: Use right triangles and the unit circle to identify the trigonometric characteristics of the describe situation. 

The unit circle is an extremely helpful tool in solving trigonometric problems. For the purpose of trigonometry, the unit circle is located at the origin and has a radius of one unit. This is because right triangles can be formed using the x axis as one leg of the triangle and the line from the origin to a point on the circle as the hypotenuse with a measurement of one.

Therefore, the point on the circle has coordinates of  for the angle that is created by the x axis and the hypotenuse. It is important to know that

 and can be found using the triangle that is created on the unit circle.

For this particular question,

Step 3: Answer the question.

This question is testing one's ability to understand the trigonometric relationships and how the relate to the unit circle for solving problems.

For the purpose of Common Core Standards, "Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle." falls within the Cluster A of "Extend the domain of trigonometric functions using the unit circle" concept (CCSS.MATH.CONTENT.HSF-TF.A.2). 

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Plot the line that connects the origin to the point .

Step 2: Use right triangles and the unit circle to identify the trigonometric characteristics of the describe situation. 

The unit circle is an extremely helpful tool in solving trigonometric problems. For the purpose of trigonometry, the unit circle is located at the origin and has a radius of one unit. This is because right triangles can be formed using the x axis as one leg of the triangle and the line from the origin to a point on the circle as the hypotenuse with a measurement of one.

Therefore, the point on the circle has coordinates of  for the angle that is created by the x axis and the hypotenuse. It is important to know that

 and can be found using the triangle that is created on the unit circle.

Recall that using trigonometric identities tangent is,

For this particular question,

Step 3: Answer the question.

This question is testing one's ability to understand the trigonometric relationships and how the relate to the unit circle for solving problems.

For the purpose of Common Core Standards, "Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle." falls within the Cluster A of "Extend the domain of trigonometric functions using the unit circle" concept (CCSS.MATH.CONTENT.HSF-TF.A.2). 

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Plot the line that connects the origin to the point .

Step 2: Use right triangles and the unit circle to identify the trigonometric characteristics of the describe situation. 

The unit circle is an extremely helpful tool in solving trigonometric problems. For the purpose of trigonometry, the unit circle is located at the origin and has a radius of one unit. This is because right triangles can be formed using the x axis as one leg of the triangle and the line from the origin to a point on the circle as the hypotenuse with a measurement of one.

Therefore, the point on the circle has coordinates of  for the angle that is created by the x axis and the hypotenuse. It is important to know that

 and can be found using the triangle that is created on the unit circle.

For this particular question,

Step 3: Answer the question.

This question is testing one's ability to understand the trigonometric relationships and how the relate to the unit circle for solving problems.

For the purpose of Common Core Standards, "Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle." falls within the Cluster A of "Extend the domain of trigonometric functions using the unit circle" concept (CCSS.MATH.CONTENT.HSF-TF.A.2). 

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Plot the line that connects the origin to the point .

Step 2: Use right triangles and the unit circle to identify the trigonometric characteristics of the describe situation. 

The unit circle is an extremely helpful tool in solving trigonometric problems. For the purpose of trigonometry, the unit circle is located at the origin and has a radius of one unit. This is because right triangles can be formed using the x axis as one leg of the triangle and the line from the origin to a point on the circle as the hypotenuse with a measurement of one.

Therefore, the point on the circle has coordinates of  for the angle that is created by the x axis and the hypotenuse. It is important to know that

 and can be found using the triangle that is created on the unit circle.

For this particular question,

Step 3: Answer the question.

This question is testing one's ability to understand the trigonometric relationships and how the relate to the unit circle for solving problems.

For the purpose of Common Core Standards, "Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle." falls within the Cluster A of "Extend the domain of trigonometric functions using the unit circle" concept (CCSS.MATH.CONTENT.HSF-TF.A.2). 

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Plot the line that connects the origin to the point .

Step 2: Use right triangles and the unit circle to identify the trigonometric characteristics of the describe situation. 

The unit circle is an extremely helpful tool in solving trigonometric problems. For the purpose of trigonometry, the unit circle is located at the origin and has a radius of one unit. This is because right triangles can be formed using the x axis as one leg of the triangle and the line from the origin to a point on the circle as the hypotenuse with a measurement of one.

Therefore, the point on the circle has coordinates of  for the angle that is created by the x axis and the hypotenuse. It is important to know that

 and can be found using the triangle that is created on the unit circle.

Recall that using trigonometric identities tangent is,

For this particular question,

Step 3: Answer the question.