Respuesta :

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

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 = [tex]\sqrt{1-cos^{2}x }[/tex].

Plug the values of cos x

sin x = [tex]\sqrt{1- (0.75)^{2} }[/tex].

sinx = [tex]\sqrt{1- 0.5625}[/tex].

sinx = [tex]\sqrt{0.4375}[/tex].

sin x = 0.66

Therefore, sin x = 0.66

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