Respuesta :

Answer:

A

Explanation:

You must know the basics of Trigonometry to solve this.

First, you must know that

[tex] \frac{3\pi}{4} [/tex]

lies in the second quadrant, so sin is negative.

Next, since

pi/4, is the reference angle of 3 pi/4, this means that we can set up a right triangle with pi/4 as an angle, we get

[tex] \cos( \frac{3\pi}{4} ) = \frac{ \sqrt{2} }{2} [/tex]

[tex] \sin( \frac{\pi}{4} ) = - \frac{ \sqrt{2} }{2} [/tex]

So the answer is A