What is expand (1+5sin(t))(5cos(t)) ?

The solution to expand (1+5sin(t))(5cos(t)) is 5cos(t)+25cos(t)sin(t)

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expand (1+5sin(t))(5cos(t))

expand

(1 + 5 sin (t)) (5 cos (t))

5 cos (t) + 25 cos (t) sin (t)

Solution steps

(1 + 5 sin (t)) (5 cos (t))

= (5 cos (t)) (1 + 5 sin (t))

Apply the distributive law:

a (b + c) = ab + a c

(5 cos (t)) (1 + 5 sin (t)) = 5 cos (t) \cdot 1 + 5 cos (t) \cdot 5 sin (t)

= 5 cos (t) \cdot 1 + 5 cos (t) \cdot 5 sin (t)

Simplify

5 cos (t) \cdot 1 + 5 cos (t) \cdot 5 sin (t) : 5 cos (t) + 25 cos (t) sin (t)

= 5 cos (t) + 25 cos (t) sin (t)

\frac{d}{d x} ((x - 2) (x - 7)^{3}) + 8

\frac{( x - 3 ) ( x ^{2} + 9 ) ^{3}}{( 2 x - 5 ) ^{2}}

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

(a + 2)^{2}

5 (7 - 12)

What is expand (1+5sin(t))(5cos(t)) ?
The solution to expand (1+5sin(t))(5cos(t)) is 5cos(t)+25cos(t)sin(t)