Is 1/(csc^2(θ))=cos^2(θ)+1 ?

The answer to whether 1/(csc^2(θ))=cos^2(θ)+1 is False

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prove 1/(csc^2(θ))=cos^2(θ)+1

prove

\frac{1}{csc ^{2} ( θ )} = cos^{2} (θ) + 1

False

Solution steps

\frac{1}{csc ^{2} ( θ )} = cos^{2} (θ) + 1

Show that the two sides are not equal

For

\frac{1}{csc ^{2} ( θ )} = cos^{2} (θ) + 1

plug in

θ = 1

\frac{1}{csc ^{2} ( 1 )} = 0.70807 \dots

\frac{1}{csc ^{2} ( 1 )}

Refine to a decimal form

= 0.70807 \dots

cos^{2} (1) + 1 = 1.29192 \dots

cos^{2} (1) + 1

Refine to a decimal form

= 1.29192 \dots

The two sides are not equal

\Rightarrow False

sin (\frac{17 π}{2} + x) = cos (x)

\frac{cos ^{2} ( θ )}{1 + sin ( θ )} = 1 - sin (θ)

4 sin (3 θ) = 12 sin (θ) - 16 sin^{3} (θ)

tan^{2} (x) + \frac{1}{sin ( x ) csc ( x )} = sec^{2} (x)

csc (- x) - sin (- x) = cos (- x) cot (- x)

Is 1/(csc^2(θ))=cos^2(θ)+1 ?
The answer to whether 1/(csc^2(θ))=cos^2(θ)+1 is False