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

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

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

prove

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

True

Solution steps

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

Manipulating left side

csc (x) + cot (x)

Express with sin, cos

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

We showed that the two sides could take the same form

\Rightarrow True

\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 )}

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

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

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