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

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

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

prove

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

True

Solution steps

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

Manipulating left side

\frac{1}{sin ( x ) + 1} + \frac{1}{csc ( x ) + 1}

Express with sin, cos

= 1

We showed that the two sides could take the same form

\Rightarrow True

\frac{- sin ( - a )}{cos ( - a )} = tan (a)

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

cos (o) = \frac{1}{sec ( o )}

sin (x) = \frac{sec ( x )}{tan ( x ) + cot ( x )}

(cot (x) + 1)^{2} = csc^{2} (x) + 2 cot (x)

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