Is (1+cos(θ))/(sin(θ))=csc(θ)+cot(θ) ?

The answer to whether (1+cos(θ))/(sin(θ))=csc(θ)+cot(θ) is True

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prove (1+cos(θ))/(sin(θ))=csc(θ)+cot(θ)

prove

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

True

Solution steps

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

Manipulating right side

csc (θ) + cot (θ)

Express with sin, cos

= \frac{1 + cos ( θ )}{sin ( θ )}

We showed that the two sides could take the same form

\Rightarrow True

tan^{2} (θ) = sec^{2} (θ) - 1

(1 + sec (θ)) (1 - sec (θ)) = - tan^{2} (θ)

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

sin (\frac{3 π}{2} - x) = - cos (x)

sin (x) sec (x) = \frac{1}{cot ( x )}

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