What is tan(2θ)-2tan(2θ)sin^2(θ) ?

The solution to tan(2θ)-2tan(2θ)sin^2(θ) is sin(2θ)

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simplify tan(2θ)-2tan(2θ)sin^2(θ)

simplify

tan (2 θ) - 2 tan (2 θ) sin^{2} (θ)

sin (2 θ)

Solution steps

tan (2 θ) - 2 tan (2 θ) sin^{2} (θ)

Use the Double Angle identity:

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

= tan (2 θ) cos (2 θ)

cos (2 θ) tan (2 θ) = sin (2 θ)

= sin (2 θ)

Factor out common term

tan (2 θ)

= sin (2 θ)

\frac{11}{12} - \frac{1}{3}

k^{4} - 4 k^{3} + 4 k^{2}

\frac{x ^{10}}{x ^{6}}

\frac{- 8}{- 8}

sin^{2} (x) + 2 cos^{2} (x)

What is tan(2θ)-2tan(2θ)sin^2(θ) ?
The solution to tan(2θ)-2tan(2θ)sin^2(θ) is sin(2θ)