Trigonometry : Angles in the Unit Circle

Study concepts, example questions & explanations for Trigonometry

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Example Questions

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Example Question #71 : Unit Circle And Radians

Give the exact value.

Use the unit circle to find: 

Possible Answers:

None of the above

Correct answer:

Explanation:

Locate  on the unit circle.

Cosine is related to the why x value of the points, because it is Adj/Hyp.

In other words the  pair of the point located on the unit circle that extends from the origin is .

The coordinate point of  is  thus,

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Example Question #72 : Unit Circle And Radians

Give the exact value.

Consider the unit circle. What is the value of the given trigonometric function? 

Possible Answers:

Correct answer:

Explanation:

Use the unit circle to locate the following:

 

Recall that the  pair of the point located on the unit circle that extends from the origin is the following:

 

Since the tangent is equal to the sine divided by the cosine, we need to find the following:

Now, we will use this information to solve the problem. 

Substitute the calculated values:

Solve. Remember that dividing by a fraction is the same as multiplying by its reciprocal.

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