Answer to Question #20782 in Calculus for ien shen

Question #20782

4(1+sin(x)=cos^2(x)

Expert's answer

4(1+sin(x))=cos^2(x)
we know that
cos^2(x)=1-sin^2(x)
so
4+4sin(x)=1-sin^2(x)
let sin(x)=t
3+4t+t^2=0
t=-1 or t=-3
but | sin(x) |<=1 for every x from R
sin(x)=-1
x=pi+2*pi*n, where n from Z

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