# 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

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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