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