What is expand cos(2x)(sec(2x)-1) ?

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

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expand cos(2x)(sec(2x)-1)

expand

cos (2 x) (sec (2 x) - 1)

2 sin^{2} (x)

Solution steps

cos (2 x) (sec (2 x) - 1)

Apply the distributive law:

a (b - c) = ab - a c

cos (2 x) (sec (2 x) - 1) = cos (2 x) sec (2 x) - cos (2 x) \cdot 1

= cos (2 x) sec (2 x) - cos (2 x) \cdot 1

Simplify

cos (2 x) sec (2 x) - cos (2 x) \cdot 1 : 2 sin^{2} (x)

= 2 sin^{2} (x)

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

(x - 1)^{2}

e^{5 t} u (- t + 4)

(x + 7) (x - 7)

(6 x + \frac{1}{3 x})^{6}

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