What is expand (tan(x)+sec(x))*cos(x) ?

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

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expand (tan(x)+sec(x))*cos(x)

expand

(tan (x) + sec (x)) \cdot cos (x)

sin (x) + 1

Solution steps

(tan (x) + sec (x)) cos (x)

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

Simplify

cos (x) tan (x) + cos (x) sec (x) : sin (x) + 1

= sin (x) + 1

(x + d e lt a x)^{2}

- 3 l e f t (x + 1)^{2} + 12

\frac{2}{5} (3 x - 5)

(x + d e lt a x)^{3}

\frac{10 x ^{3} + 20 x + 2}{( x ^{2} + 2 ) ( x ^{2} + 1 )}

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