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

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

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

expand

(sin (x + y) - cos (x) sin (y)) \cdot sec (y)

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

Solution steps

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

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

Apply the distributive law:

a (b - c) = ab - a c

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

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

Simplify

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

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

(2 x - \frac{5}{x ^{2}})^{12}

\frac{\partial}{\partial x} ((z) (x + y) e^{y})

(1 + 5)^{4}

y (2 x - y + 1) d x - x (3 x - 4 y + 3) d y

6 (2 - 2 - 6 - 3)

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