to the nearest whole degree what angle measure has a sine of

to the nearest whole degree, what angle measure has a sine of .9762?

to the nearest whole degree, what angle measure has a cosine of .5445?

if sin x =0.5, what is the value of cos x?

Solution

=sin^-1(0.9762)=77⁰

=cos^-1(0.5445)=57⁰

sin x =0.5=1/2

sin²x+cos²x=1

(1/2)²+cos²x=1

(1/4)+cos²x=1

cos²x=1-(1/4)

cos²x=3/4

cosx =(3)/2