Question

Determine the value of sin○​

Answer 1

Answer:

sin($\frac{7\pi }{4}$ ) = -$\frac{\sqrt{2} }{2}$

Step-by-step explanation:

If cos(theta) = $\frac{\sqrt{2} }{2}$, then theta should equal $\frac{\pi }{4}$ or $\frac{7\pi }{4}$  since both angles are on the right side of the origin, meaning the cosine would be positive. However, it states that the angle theta terminates at quadrant IV so the only angle that would meet this criteria is $\frac{7\pi }{4}$ .

So theta should equal $\frac{7\pi }{4}$ .

Now that we have theta, all you have to do is find the value of sine by plugging it in.

sin($\frac{7\pi }{4}$ ) = -$\frac{\sqrt{2} }{2}$

Answer 2

Answer:

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