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Popular >

expand (sin(2x)sin(x)+cos(4x)cos(x))sec(2x)

Solution

expand

(sin (2 x) sin (x) + cos (4 x) cos (x)) sec (2 x)

Solution

cos (4 x) cos (x) sec (2 x) + tan (2 x) sin (x)

Solution steps

(sin (2 x) sin (x) + cos (4 x) cos (x)) sec (2 x)

= sec (2 x) (sin (2 x) sin (x) + cos (4 x) cos (x))

Apply the distributive law:

a (b + c) = ab + a c

sec (2 x) (sin (2 x) sin (x) + cos (4 x) cos (x)) = sec (2 x) sin (2 x) sin (x) + sec (2 x) cos (4 x) cos (x)

= sec (2 x) sin (2 x) sin (x) + sec (2 x) cos (4 x) cos (x)

Simplify

sec (2 x) sin (2 x) sin (x) + sec (2 x) cos (4 x) cos (x) : cos (4 x) cos (x) sec (2 x) + tan (2 x) sin (x)

= cos (4 x) cos (x) sec (2 x) + tan (2 x) sin (x)

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Frequently Asked Questions (FAQ)

What is expand (sin(2x)sin(x)+cos(4x)cos(x))sec(2x) ?
The solution to expand (sin(2x)sin(x)+cos(4x)cos(x))sec(2x) is cos(4x)cos(x)sec(2x)+tan(2x)sin(x)