Is sin^2(θ)(2+cot^2(θ))=1 ?

The answer to whether sin^2(θ)(2+cot^2(θ))=1 is False

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prove sin^2(θ)(2+cot^2(θ))=1

prove

sin^{2} (θ) (2 + cot^{2} (θ)) = 1

False

Solution steps

sin^{2} (θ) (2 + cot^{2} (θ)) = 1

Show that the two sides are not equal

For

sin^{2} (θ) (2 + cot^{2} (θ)) = 1

plug in

θ = 1

sin^{2} (1) (2 + cot^{2} (1)) = 1.70807 \dots

sin^{2} (1) (2 + cot^{2} (1))

Refine to a decimal form

= 1.70807 \dots

The two sides are not equal

\Rightarrow False

5 sin (x) \cdot cos (x) = 5 (1 - cos^{2} (x)) cot (x)

- cos^{2} (2 θ) = \frac{1 + cos ( 4 θ )}{8}

tan^{2} (x) = 2 sin^{2} (x) - 1

tan (- \frac{π}{2} - θ) = cot (θ)

cos (2 x) + tan (x) sin (2 x) = 1

Is sin^2(θ)(2+cot^2(θ))=1 ?
The answer to whether sin^2(θ)(2+cot^2(θ))=1 is False