What is expand cos(a)(sec(a)-cos(a)) ?

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

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expand cos(a)(sec(a)-cos(a))

expand

cos (a) (sec (a) - cos (a))

sin^{2} (a)

Solution steps

cos (a) (sec (a) - cos (a))

Apply the distributive law:

a (b - c) = ab - a c

cos (a) (sec (a) - cos (a)) = cos (a) sec (a) - cos (a) cos (a)

= cos (a) sec (a) - cos (a) cos (a)

Simplify

cos (a) sec (a) - cos (a) cos (a) : sin^{2} (a)

= sin^{2} (a)

(1 - cos (a)) (1 + cos (a))

(1 + 3 i)^{5}

(a - b)^{2}

(x + \frac{1}{x})^{4}

(x + 22)^{2}

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