What is cos(x)(sec(x)-cos(x)) ?

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

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simplify cos(x)(sec(x)-cos(x))

simplify

cos (x) (sec (x) - cos (x))

sin^{2} (x)

Solution steps

cos (x) (sec (x) - cos (x))

Express with sin, cos

= 1 - cos^{2} (x)

Rewrite using trig identities

= sin^{2} (x)

\frac{cos ( - x )}{tan ( - x )} + sin (- x)

x^{5} + x^{2} - x - 1

(52 + 1) (52 - 1)

\frac{3}{5} \cdot \frac{4}{5}

(a^{2} b^{4} c)^{3}

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