Question

Sin(**) =
A. – V2
2
B. 3
2
c
C. V2
2
D.
2

Answer 1

C

Explanation:

Short explanation:

Using the unit circle, the answer is C.

If you want a full in depth, answer:

The unit circle has a radius of 1.

3pi/4 is located in the 2nd quadrant.

That radian measures 135 degrees.

The 2nd quadrant start after 90 degrees.

To find the terminal angle, subtract 90 from 135.

Which gives you 45.

This means we are dealing with a 45-45-90 triangle.

Since our hypotenuse is 1, our y and x have to be

`( √(2) )/(2)`

Sin is positve in the 2nd quadrant so C is the answer.