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stiv31 [10]
4 years ago
10

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

Mathematics
2 answers:
Doss [256]4 years ago
8 0

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

Brilliant_brown [7]4 years ago
3 0
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
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