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

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

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

prove

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

True

Solution steps

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

Manipulating left side

csc (x) - 1

Express with sin, cos

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

We showed that the two sides could take the same form

\Rightarrow True

tan (x) sin (x) = \frac{sec ^{2} ( x ) - 1}{sec ( x )}

cos (θ - 6 0^{\circ}) + cos (θ + 6 0^{\circ}) = cos (θ)

tan (2 A) = \frac{2 tan ( A )}{1 - tan ^{2} ( A )}

sin (x) - csc (x) = \frac{- cos ^{2} ( x )}{sin ( x )}

sec^{2} (x) - sec^{2} (x) cos^{2} (x) = tan^{2} (x)

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