Is 2cos(x)sin^2(x)=sin(x)sin(2x) ?

The answer to whether 2cos(x)sin^2(x)=sin(x)sin(2x) is True

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

prove 2cos(x)sin^2(x)=sin(x)sin(2x)

prove

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

True

Solution steps

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

Manipulating right side

sin (x) sin (2 x)

Rewrite using trig identities

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

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

We showed that the two sides could take the same form

\Rightarrow True

sec (x) sin (x) = tan (x)

(tan (θ) + cot (θ)) tan (θ) = sec^{2} (θ)

(sin (x)) (sec (x)) = tan (x)

cot (- x) = - cot (x)

sec^{2} (\frac{π}{2} - x) - 1 = cot^{2} (x)

Is 2cos(x)sin^2(x)=sin(x)sin(2x) ?
The answer to whether 2cos(x)sin^2(x)=sin(x)sin(2x) is True