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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

expand

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

4 (- 2 x + 2 = 88)

(- 2 cos (u) sin (v) - cos^{2} (u) sin (v))^{2}

\frac{1}{( x ) ( x + 1 )}

\frac{3 x ^{3} - 18 x ^{2} + 29 x - 4}{( x + 1 ) ( x - 2 ) ^{3}}

(x - \frac{94}{9}) (x - 12) (x - 10)

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