prove sin(x)*csc(x)=1

Solution

prove

sin (x) \cdot csc (x) = 1

True

Solution steps

sin (x) csc (x) = 1

Manipulating left side

sin (x) csc (x)

csc (x) sin (x) = 1

We showed that the two sides could take the same form

\Rightarrow True

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

csc^{2} (θ) (1 - cos^{2} (θ)) = sin (648 0^{\circ})

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

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

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