Is csc(θ)=(cot(θ))/(cos(θ)) ?

The answer to whether csc(θ)=(cot(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 csc(θ)=(cot(θ))/(cos(θ))

prove

csc (θ) = \frac{cot ( θ )}{cos ( θ )}

True

Solution steps

csc (θ) = \frac{cot ( θ )}{cos ( θ )}

Manipulating right side

\frac{cot ( θ )}{cos ( θ )}

Express with sin, cos

= \frac{1}{sin ( θ )}

Rewrite using trig identities

csc (θ)

We showed that the two sides could take the same form

\Rightarrow True

arccos (x) = \frac{1}{cos ( x )}

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

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

sin^{2} (θ) - cos^{2} (θ) = 1

tan^{2} (θ) csc^{2} (θ) = sec^{2} (θ)

Is csc(θ)=(cot(θ))/(cos(θ)) ?
The answer to whether csc(θ)=(cot(θ))/(cos(θ)) is True