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

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

Popular >

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

prove

\frac{1 - sin ( x )}{1 - \frac{1}{s i n ( x )}} = - sin (x)

True

Solution steps

\frac{1 - sin ( x )}{1 - \frac{1}{s i n ( x )}} = - sin (x)

Manipulating left side

\frac{1 - sin ( x )}{1 - \frac{1}{s i n ( x )}}

Simplify

\frac{1 - sin ( x )}{1 - \frac{1}{s i n ( x )}} : - sin (x)

= - sin (x)

We showed that the two sides could take the same form

\Rightarrow True

cos (x) = cos^{3} (x) + cos (x) sin^{2} (x)

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

\frac{cot ( 2 θ )}{cos ( 2 θ )} = csc (2 θ)

(1 + tan^{2} (x)) sin^{2} (x) = tan^{2} (x)

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

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