Is csc^2(x)cot^2(x)+csc^2(x)=csc^4(x) ?

The answer to whether csc^2(x)cot^2(x)+csc^2(x)=csc^4(x) is True

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prove csc^2(x)cot^2(x)+csc^2(x)=csc^4(x)

prove

csc^{2} (x) cot^{2} (x) + csc^{2} (x) = csc^{4} (x)

True

Solution steps

csc^{2} (x) cot^{2} (x) + csc^{2} (x) = csc^{4} (x)

Manipulating left side

csc^{2} (x) cot^{2} (x) + csc^{2} (x)

Rewrite using trig identities

= csc^{4} (x)

We showed that the two sides could take the same form

\Rightarrow True

sin^{5} (x) = (sin (x))^{5}

2 tan (x) sec (x) csc (x) = 2 + 2 tan^{2} (x)

\frac{csc ^{2} ( x )}{cot ^{2} ( x )} = csc (x) sec (x)

sin^{2} (b) csc^{2} (b) - sin^{2} (b) = cos^{2} (b)

(tan (θ) + sec (θ)) (1 - sin (θ)) = cos (θ)

Is csc^2(x)cot^2(x)+csc^2(x)=csc^4(x) ?
The answer to whether csc^2(x)cot^2(x)+csc^2(x)=csc^4(x) is True