What is sec(x)-sec(x)(sin(x))^2 ?

The solution to sec(x)-sec(x)(sin(x))^2 is cos(x)

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simplify sec(x)-sec(x)(sin(x))^2

simplify

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

cos (x)

Solution steps

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

Express with sin, cos

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

Rewrite using trig identities

= cos (x)

\frac{tan ( x )}{csc ( x )}

\frac{3 - 7}{2 - ( - 2 )}

lo g_{10} (x + 4) (x - 4) - lo g_{10} (x - 4)

4 - (1)

\frac{- 4 + 5 i}{8 - 2 i}

What is sec(x)-sec(x)(sin(x))^2 ?
The solution to sec(x)-sec(x)(sin(x))^2 is cos(x)