Is tan(θ)sin(θ)=2sin^2(θ) ?

The answer to whether tan(θ)sin(θ)=2sin^2(θ) is False

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prove tan(θ)sin(θ)=2sin^2(θ)

prove

tan (θ) sin (θ) = 2 sin^{2} (θ)

False

Solution steps

tan (θ) sin (θ) = 2 sin^{2} (θ)

Show that the two sides are not equal

For

tan (θ) sin (θ) = 2 sin^{2} (θ)

plug in

θ = 1

tan (1) sin (1) = 1.31051 \dots

tan (1) sin (1)

Refine to a decimal form

= 1.31051 \dots

2 sin^{2} (1) = 1.41614 \dots

2 sin^{2} (1)

Refine to a decimal form

= 1.41614 \dots

The two sides are not equal

\Rightarrow False

- 2 cos^{2} (θ) = sin^{4} (θ) - cos^{4} (θ) - 1

3 csc (x) cot (x) + 3 csc (x) = 0

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

cot (θ) - tan (θ) = \frac{2 cos ( 2 θ )}{sin ( 2 θ )}

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

Is tan(θ)sin(θ)=2sin^2(θ) ?
The answer to whether tan(θ)sin(θ)=2sin^2(θ) is False