Is sin^2(x)sec(x)=(sin(x))/(cot(x)) ?

The answer to whether sin^2(x)sec(x)=(sin(x))/(cot(x)) is True

Popular >

prove sin^2(x)sec(x)=(sin(x))/(cot(x))

prove

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

True

Solution steps

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

Manipulating right side

\frac{sin ( x )}{cot ( x )}

Express with sin, cos

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

Rewrite using trig identities

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

We showed that the two sides could take the same form

\Rightarrow True

cot^{2} (x) (1 + tan^{2} (x)) = csc^{2} (x)

\frac{sec ^{2} ( a ) cot ( a )}{csc ^{2} ( a )} = tan (a)

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

sec (x) = sin (x) (cot (x) + tan (x))

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

Is sin^2(x)sec(x)=(sin(x))/(cot(x)) ?
The answer to whether sin^2(x)sec(x)=(sin(x))/(cot(x)) is True