Is (1+cos(θ))/(1+sec(θ))=cos(θ) ?

The answer to whether (1+cos(θ))/(1+sec(θ))=cos(θ) is True

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

prove (1+cos(θ))/(1+sec(θ))=cos(θ)

prove

\frac{1 + cos ( θ )}{1 + sec ( θ )} = cos (θ)

True

Solution steps

\frac{1 + cos ( θ )}{1 + sec ( θ )} = cos (θ)

Manipulating left side

\frac{1 + cos ( θ )}{1 + sec ( θ )}

Express with sin, cos

= cos (θ)

We showed that the two sides could take the same form

\Rightarrow True

tan^{2} (θ) - sec^{2} (θ) = - 1

cot (x) sin (x) - cos^{2} (x) sec (x) = 0

\frac{cos ( 3 x )}{cos ( x )} = 4 cos^{2} (x) - 3

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

(sec (θ) + tan (θ)) (1 - sin (θ)) = cos (θ)

Is (1+cos(θ))/(1+sec(θ))=cos(θ) ?
The answer to whether (1+cos(θ))/(1+sec(θ))=cos(θ) is True