What is expand 5cos(t)(2sin(t)-6tan(t)) ?

The solution to expand 5cos(t)(2sin(t)-6tan(t)) is 10cos(t)sin(t)-30sin(t)

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expand 5cos(t)(2sin(t)-6tan(t))

expand

5 cos (t) (2 sin (t) - 6 tan (t))

10 cos (t) sin (t) - 30 sin (t)

Solution steps

5 cos (t) (2 sin (t) - 6 tan (t))

Apply the distributive law:

a (b - c) = ab - a c

5 cos (t) (2 sin (t) - 6 tan (t)) = 5 cos (t) \cdot 2 sin (t) - 5 cos (t) \cdot 6 tan (t)

= 5 cos (t) \cdot 2 sin (t) - 5 cos (t) \cdot 6 tan (t)

Simplify

5 cos (t) \cdot 2 sin (t) - 5 cos (t) \cdot 6 tan (t) : 10 cos (t) sin (t) - 30 sin (t)

= 10 cos (t) sin (t) - 30 sin (t)

(x^{2} - y^{2}) d x - 2 x y d y

(x - \frac{3 2}{2}) (1 + \frac{3 2}{2})

5 ((v^{2} + 256)^{\frac{1}{2}} - 16)

(4 cos (t)) (1 + 4 sin (t))

(1 + \frac{s}{3125}) (1 + \frac{s}{4625})

What is expand 5cos(t)(2sin(t)-6tan(t)) ?
The solution to expand 5cos(t)(2sin(t)-6tan(t)) is 10cos(t)sin(t)-30sin(t)