What is expand (2cos(2x)cos(x)-cos(3x))sec(x) ?

The solution to expand (2cos(2x)cos(x)-cos(3x))sec(x) is 2cos(2x)-cos(3x)sec(x)

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expand (2cos(2x)cos(x)-cos(3x))sec(x)

expand

(2 cos (2 x) cos (x) - cos (3 x)) sec (x)

2 cos (2 x) - cos (3 x) sec (x)

Solution steps

(2 cos (2 x) cos (x) - cos (3 x)) sec (x)

= sec (x) (2 cos (2 x) cos (x) - cos (3 x))

Apply the distributive law:

a (b - c) = ab - a c

sec (x) (2 cos (2 x) cos (x) - cos (3 x)) = sec (x) \cdot 2 cos (2 x) cos (x) - sec (x) cos (3 x)

= sec (x) \cdot 2 cos (2 x) cos (x) - sec (x) cos (3 x)

Simplify

sec (x) \cdot 2 cos (2 x) cos (x) - sec (x) cos (3 x) : 2 cos (2 x) - cos (3 x) sec (x)

= 2 cos (2 x) - cos (3 x) sec (x)

\frac{π ( 9 - x ^{2} ) ( x + 3 )}{3}

\frac{3 ( 4 + 5 )}{22}

(4 + 3 sin (x))^{2}

x^{2} e^{2 x} (3 + 2 x)

\frac{2 ( t ^{2} + 1 - 2 t )}{( t ^{2} + 1 ) ^{2}}

What is expand (2cos(2x)cos(x)-cos(3x))sec(x) ?
The solution to expand (2cos(2x)cos(x)-cos(3x))sec(x) is 2cos(2x)-cos(3x)sec(x)