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

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

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

prove

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

True

Solution steps

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

Manipulating right side

\frac{1 + sec ( x )}{sin ( x ) + tan ( 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

tan^{2} (θ) + 6 = sec^{2} (θ) + 5

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

sec (\frac{π}{2} - x) = csc (x)

\frac{1}{csc ( x ) - 1} + \frac{1}{csc ( x ) + 1} = 2 tan (x) sec (x)

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

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