Respuesta :

The answer is 0.44. I don't know how it got there but that was the answer that the quiz said was correct lol

It is given sinx=0.9 .We need to find cosx.

We use the identity :

[tex] sin^{2} x + cos^{2} x =1 [/tex]

Substituting sinx=0.9

[tex] (0.9)^{2} +cos^{2} x =1 [/tex]

[tex] 0.81+cos^{2} x=1 [/tex]

Substracting 0.81 both sides:

[tex] cos^{2} x =1-0.81 [/tex]

[tex] cos^{2} x=0.19 [/tex]

Taking root of both sides cosx=0.435

Rounding to nearest hundredth

cosx=0.44.