Question

State restrictions for the given equation below

Answer 1

The restriction of the given equation is $cos^{2}x =cos^{2} x$,  other than 0≤x≤2π.

What is restriction of equation?

Restriction of the equation is the value of domain where the value is limited.

Given,

$sin^{2} xcos^{2}x +cos^4x =(1-sinx)(1+sinx)$

taking $cos^2x$ common, we get

$cos^2x(sin^2x+cos^2x)=1+sinx-sinx-sin^2x$

we know

$sin^2x+cos^2x=1\\cos^2x=1-sin^2x$

we get,

$cos^2x=cos^2x$

and the restriction is 0≤x≤2π.

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