Give the exact value of each expression. See Example 5.sin 30°

Question

Accepted Answer

Hello, today we're going to be determining the exact value of the given trigonometric function. So what we are given is sine of 45 degrees. Now, in order to determine the value of this trigonometric function, we're going to need to use a unit circle. No, any terminal point that lies on the unit circle is defined as cosine comma sine. This is where sine represents every Y value of the terminal points found on the unit circle. So in order to determine the value of sine of 45 degrees, we need to find the Y value of the terminal point at the angle 45 degrees on the unit circle. The angle 45 degrees can be found in the first region of the unit circle. And the terminal point at this angle is given to us as the square root two divided by two, comma the square root two divided by two at this terminal point. The Y value is the square root two divided by two. And what that means is that sine of 45 degrees is equal to the square root two divided by two. This is going to be the value for the given trigonometric function. And with that being said, the answer to this problem is going to be D. So I hope this video helps you in understanding how to approach this problem. And I'll go ahead and see you all in the next video.

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Give the exact value of each expression. See Example 5.sin 30°

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