Is sin(θ)(cos^2(θ))/(sin(θ))=csc(θ) ?

The answer to whether sin(θ)(cos^2(θ))/(sin(θ))=csc(θ) is False

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prove sin(θ)(cos^2(θ))/(sin(θ))=csc(θ)

prove

sin (θ) \frac{cos ^{2} ( θ )}{sin ( θ )} = csc (θ)

False

Solution steps

sin (θ) \frac{cos ^{2} ( θ )}{sin ( θ )} = csc (θ)

Show that the two sides are not equal

For

sin (θ) \frac{cos ^{2} ( θ )}{sin ( θ )} = csc (θ)

plug in

θ = 1

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

sin (1) \frac{cos ^{2} ( 1 )}{sin ( 1 )}

Refine to a decimal form

= 0.29192 \dots

csc (1) = 1.18839 \dots

csc (1)

Refine to a decimal form

= 1.18839 \dots

The two sides are not equal

\Rightarrow False

Is sin(θ)(cos^2(θ))/(sin(θ))=csc(θ) ?
The answer to whether sin(θ)(cos^2(θ))/(sin(θ))=csc(θ) is False