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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

prove

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

True

Solution steps

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

Let:

u = \frac{x}{4}

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

Prove

1 - 2 sin^{2} (u) = cos (2 u) :

True

Therefore

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

We showed that the two sides could take the same form

\Rightarrow True

cos^{2} (b) + sin^{2} (b) = 1

tan (a) sin (a) + cos (a) = sec (a)

sin (\frac{3 π}{4}) = sin (\frac{3}{4} π + 2 π)

\frac{cos ( θ ) + cos ( 3 θ )}{2 cos ( θ )} = cos (2 θ)

\frac{cos ( x ) + cot ( x )}{1 + csc ( x )} = cos (x)

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