What is expand sec(x)(cos(x+y)+sin(x)sin(y)) ?

The solution to expand sec(x)(cos(x+y)+sin(x)sin(y)) is cos(x+y)sec(x)+tan(x)sin(y)

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Popular >

expand sec(x)(cos(x+y)+sin(x)sin(y))

expand

sec (x) (cos (x + y) + sin (x) sin (y))

cos (x + y) sec (x) + tan (x) sin (y)

Solution steps

sec (x) (cos (x + y) + sin (x) sin (y))

Apply the distributive law:

a (b + c) = ab + a c

sec (x) (cos (x + y) + sin (x) sin (y)) = sec (x) cos (x + y) + sec (x) sin (x) sin (y)

= sec (x) cos (x + y) + sec (x) sin (x) sin (y)

Simplify

sec (x) cos (x + y) + sec (x) sin (x) sin (y) : cos (x + y) sec (x) + tan (x) sin (y)

= cos (x + y) sec (x) + tan (x) sin (y)

(7 + sin (t))^{2} + cos^{2} (t)

(6 x + 4) (x + 1)

(2 + 3 y)^{2}

2 (x + y) (1 + y^{'} (x))

(9 x - 1 - 6)^{2}

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