Is 1-8sin^2(x)cos^2(x)=cos(4x) ?

The answer to whether 1-8sin^2(x)cos^2(x)=cos(4x) is True

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

prove 1-8sin^2(x)cos^2(x)=cos(4x)

prove

1 - 8 sin^{2} (x) cos^{2} (x) = cos (4 x)

True

Solution steps

1 - 8 sin^{2} (x) cos^{2} (x) = cos (4 x)

Manipulating right side

cos (4 x)

Rewrite using trig identities

= 1 - 8 sin^{2} (x) cos^{2} (x)

We showed that the two sides could take the same form

\Rightarrow True

5 tan (2 t) + 3 = 3

(1 + sin (y)) (1 + sin (- y)) = cos^{2} (y)

tan (x) = - cot (2 x) + csc (2 x)

cos (\frac{π}{6}) = sin (\frac{π}{6} + \frac{π}{2})

cos^{4} (\frac{- 3 π}{4}) = cos^{4} (\frac{π}{4})

Is 1-8sin^2(x)cos^2(x)=cos(4x) ?
The answer to whether 1-8sin^2(x)cos^2(x)=cos(4x) is True