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

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

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

prove

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

False

Solution steps

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

Show that the two sides are not equal

For

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

plug in

x = 1

csc^{4} (1) - csc^{2} (1) = 0.58226 \dots

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

Refine to a decimal form

= 0.58226 \dots

cot^{2} (cot^{4} (1)) = 33.94662 \dots

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

Refine to a decimal form

= 33.94662 \dots

The two sides are not equal

\Rightarrow False

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

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

sin (θ - \frac{π}{3}) + cos (θ + \frac{11 π}{6}) = sin (θ)

(cos (x) + sin (x))^{2} = 2 cos (x) sin (x) + 1

\frac{cot ^{2} ( x )}{csc ( x ) + 1} + 1 = csc (x)

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