Is cos(2x)+1=2cos^2(x) ?

The answer to whether cos(2x)+1=2cos^2(x) is True

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

prove cos(2x)+1=2cos^2(x)

prove

cos (2 x) + 1 = 2 cos^{2} (x)

True

Solution steps

cos (2 x) + 1 = 2 cos^{2} (x)

Manipulating left side

cos (2 x) + 1

Rewrite using trig identities

= 2 cos^{2} (x)

We showed that the two sides could take the same form

\Rightarrow True

tan (θ) \cdot cos (θ) = sin (θ)

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

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

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

\frac{cos ( x )}{sec ( x ) - 1} - \frac{cos ( x )}{sec ( x ) + 1} = \frac{2 cos ( x )}{tan ^{2} ( x )}