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Example Question #24 : Trigonometric Functions
What is the value of ?
Possible Answers:
Correct answer:
Explanation:
The sine of an angle corresponds to the y-component of the triangle in the unit circle. The angle is a special angle. In the unit circle, the hypotenuse is the radius of the unit circle, which is 1. Since the angle is , the triangle is an isosceles right triangle, or a 45-45-90.
Use the Pythagorean Theorem to solve for the leg. Both legs will be equal to each other.
Rationalize the denominator.
Therefore, .
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