What is expand (sec(x)-1)(1+cos(x))cos(x) ?

The solution to expand (sec(x)-1)(1+cos(x))cos(x) is sin^2(x)

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expand (sec(x)-1)(1+cos(x))cos(x)

expand

(sec (x) - 1) (1 + cos (x)) cos (x)

sin^{2} (x)

Solution steps

(sec (x) - 1) (1 + cos (x)) cos (x)

= cos (x) (sec (x) - 1) (1 + cos (x))

Apply FOIL method

(sec (x) - 1) (1 + cos (x)) : sin (x) tan (x)

= cos (x) sin (x) tan (x)

Express with sin, cos

= sin^{2} (x)

\frac{( 1 + 3 n ) n}{2}

3 (- 49 x^{2} + 9 + 3) - 49 x^{2} + 9

5 (8 + 7)

\frac{12 x ^{4} + 21 x ^{3} + 6 x - 12}{3 x + 6}

\frac{k ( s + 10 )}{s + 1}

What is expand (sec(x)-1)(1+cos(x))cos(x) ?
The solution to expand (sec(x)-1)(1+cos(x))cos(x) is sin^2(x)