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.