What is expand sec(b)(cos(b)+sin(b)) ?

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

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expand sec(b)(cos(b)+sin(b))

expand

sec (b) (cos (b) + sin (b))

tan (b) + 1

Solution steps

sec (b) (cos (b) + sin (b))

Apply the distributive law:

a (b + c) = ab + a c

sec (b) (cos (b) + sin (b)) = sec (b) cos (b) + sec (b) sin (b)

= sec (b) cos (b) + sec (b) sin (b)

Simplify

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

= tan (b) + 1

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sin (y) (e^{x} + e^{x} y)

x y + (2 x^{2} + 3 y^{2} - 20) \frac{d y}{d x}

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