Is (cot^3(t))/(csc(t))=cos(t)(csc^2(-1)) ?

The answer to whether (cot^3(t))/(csc(t))=cos(t)(csc^2(-1)) is False

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prove (cot^3(t))/(csc(t))=cos(t)(csc^2(-1))

prove

\frac{cot ^{3} ( t )}{csc ( t )} = cos (t) (csc^{2} (- 1))

False

Solution steps

\frac{cot ^{3} ( t )}{csc ( t )} = cos (t) csc^{2} (- 1)

Show that the two sides are not equal

For

\frac{cot ^{3} ( t )}{csc ( t )} = cos (t) csc^{2} (- 1)

plug in

t = 1

\frac{cot ^{3} ( 1 )}{csc ( 1 )} = 0.22275 \dots

\frac{cot ^{3} ( 1 )}{csc ( 1 )}

Refine to a decimal form

= 0.22275 \dots

cos (1) csc^{2} (- 1) = 0.76305 \dots

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

Refine to a decimal form

= 0.76305 \dots

The two sides are not equal

\Rightarrow False

Is (cot^3(t))/(csc(t))=cos(t)(csc^2(-1)) ?
The answer to whether (cot^3(t))/(csc(t))=cos(t)(csc^2(-1)) is False