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

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

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

prove

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

True

Solution steps

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

Manipulating left side

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

Express with sin, cos

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

Rewrite using trig identities

csc (x)

We showed that the two sides could take the same form

\Rightarrow True

sec^{2} (y) = (sec (y))^{2}

csc (A) = \frac{7}{4}

\frac{sin ^{2} ( x )}{sin ^{2} ( x )} = sin (x)

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

4 sin (\frac{x}{2}) cos (\frac{x}{2}) = 2 sin (x)

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