Is sin^2(csc^2(x)-1)=cos^2(x) ?

The answer to whether sin^2(csc^2(x)-1)=cos^2(x) is False

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prove sin^2(csc^2(x)-1)=cos^2(x)

prove

sin^{2} (csc^{2} (x) - 1) = cos^{2} (x)

False

Solution steps

sin^{2} (csc^{2} (x) - 1) = cos^{2} (x)

Show that the two sides are not equal

For

sin^{2} (csc^{2} (x) - 1) = cos^{2} (x)

plug in

x = 1

sin^{2} (csc^{2} (1) - 1) = 0.16056 \dots

sin^{2} (csc^{2} (1) - 1)

Refine to a decimal form

= 0.16056 \dots

cos^{2} (1) = 0.29192 \dots

cos^{2} (1)

Refine to a decimal form

= 0.29192 \dots

The two sides are not equal

\Rightarrow False

Is sin^2(csc^2(x)-1)=cos^2(x) ?
The answer to whether sin^2(csc^2(x)-1)=cos^2(x) is False