What is expand cos(x)(sec(x)+3sin(x)) ?

The solution to expand cos(x)(sec(x)+3sin(x)) is 3cos(x)sin(x)+1

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expand cos(x)(sec(x)+3sin(x))

expand

cos (x) (sec (x) + 3 sin (x))

3 cos (x) sin (x) + 1

Solution steps

cos (x) (sec (x) + 3 sin (x))

Apply the distributive law:

a (b + c) = ab + a c

cos (x) (sec (x) + 3 sin (x)) = cos (x) sec (x) + cos (x) \cdot 3 sin (x)

= cos (x) sec (x) + cos (x) \cdot 3 sin (x)

Simplify

cos (x) sec (x) + cos (x) \cdot 3 sin (x) : 3 cos (x) sin (x) + 1

= 3 cos (x) sin (x) + 1

- \frac{2 ( - 3 x ^{2} + 4 )}{( x ^{2} + 4 ) ^{3}}

\frac{s ( s + 5 )}{( ( s ^{2} + 1 ) ( s ^{2} + 6 s + 11 ) )}

(\frac{y ^{3}}{2} - \frac{1}{2 y ^{3}})^{2}

\frac{d ^{2}}{d y d x} ((f (y, x)) (x^{2} + 5 x y + sin (x) + 7 e^{x}))

(4 x - \frac{1}{x ^{2}})^{6}

What is expand cos(x)(sec(x)+3sin(x)) ?
The solution to expand cos(x)(sec(x)+3sin(x)) is 3cos(x)sin(x)+1