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

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

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

prove

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

False

Solution steps

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

Show that the two sides are not equal

For

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

plug in

x = 1

csc^{4} (1) cot^{2} (1) = 0.82231 \dots

csc^{4} (1) cot^{2} (1)

Refine to a decimal form

= 0.82231 \dots

csc^{4} (1) = 1.99454 \dots

csc^{4} (1)

Refine to a decimal form

= 1.99454 \dots

The two sides are not equal

\Rightarrow False

p ro v e \frac{sin ^{2} ( x )}{cos ^{2} ( x )} + 1 = sec^{2} (x)

p ro v e cos^{2} (x) tan^{2} (2 x) = sin^{2} (x)

p ro v e \frac{sin ( 2 x )}{2} = \frac{tan ( x )}{1 + tan ^{2} ( x )}

p ro v e csc (\frac{π}{12}) = sec (\frac{5 π}{12})

p ro v e 1 - \frac{cot ^{2} ( θ )}{csc ^{2} ( θ )} = sin^{2} (θ)

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