Find each exact function value. See Example 3.
sin π/2

Question

Find each exact function value. See Example 3.

sin π/2

Accepted Answer

Hello, everyone. We're asked to determine the exact value of the given function. We are given the sine of pi divided by four. Our answer choices are a, the square root of two B, the squared of two divided by two C one D, one half. So we are gonna use a special right triangle to solve this. So when I draw my right triangle, I recall that pi divided by four is the same as 45 degrees, which means I can work with a 45 45 90 triangle or in this case, a pi divided by four pi divided by four pi divided by two triangle. And I recall that in a 45 45 90 triangle, the legs each have a value of one and the hypotenuse has a value of this square root of two. So if I want the sine of pi divided by four, I'm going to label my triangle. I say A is the top B is my right angle. C is the bottom right corner. I'm gonna work with the angle at a recalling that sign is the opposite over the hypotenuse or the opposite divided by the hypotenuse I can say that the sine of pi divided by four is equal to one divided by radical two. I want to rationalize my denominator. So I'm going to multiply both the numerator and the denominator by the square root of two. And when I do so I get the square root of two divided by two. So this means the sine of pi divided by four equals the square root of two divided by two which is answer choice B have a nice day.

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Find each exact function value. See Example 3.
sin π/2

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Find each exact function value. See Example 3.sin π/2

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Complementary and Supplementary Angles practice set

Find each exact function value. See Example 3.
sin π/2