Question

If cos x = .75, what is sin x?

Answer 1

Answer:

sin x = 0.66

Step-by-step explanation:

Given  : cos x = .75,

To find : what is sin x.

Solution : We have given cos x = .75

By the trigonometric identity : cos²x + sin²x = 1.

sin x = $\sqrt{1-cos^{2}x }$.

Plug the values of cos x

sin x = $\sqrt{1- (0.75)^{2} }$.

sinx = $\sqrt{1- 0.5625}$.

sinx = $\sqrt{0.4375}$.

sin x = 0.66

Therefore, sin x = 0.66

Answer 2

ArcCos (.75) = x = 41.409

plug the x value into sin x and solve it

You will find that sin x = 0.66

Hope this helps