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

The answer to whether 1/(1-cos(x))=(1+cos(x))/(sin^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 1/(1-cos(x))=(1+cos(x))/(sin^2(x))

prove

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

True

Solution steps

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

Manipulating left side

\frac{1}{1 - cos ( x )}

Rewrite using trig identities

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

We showed that the two sides could take the same form

\Rightarrow True

tan (θ + \frac{π}{2}) = - cot (θ)

sin (B) + cos (B) cot (B) = csc (B)

3 sin (5 π - x) = 3 sin (x)

cos^{2} (θ) = \frac{1 + cos ( 2 θ )}{2}

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

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