What is expand sin(a)*(1+sin(a)+sin^2(a)) ?

The solution to expand sin(a)*(1+sin(a)+sin^2(a)) is sin(a)+sin^2(a)+sin^3(a)

Popular >

expand sin(a)*(1+sin(a)+sin^2(a))

expand

sin (a) \cdot (1 + sin (a) + sin^{2} (a))

sin (a) + sin^{2} (a) + sin^{3} (a)

Solution steps

sin (a) (1 + sin (a) + sin^{2} (a))

Apply the distributive law:

m (a + b + c) = ma + mb + m c

sin (a) (1 + sin (a) + sin^{2} (a)) = sin (a) \cdot 1 + sin (a) sin (a) + sin (a) sin^{2} (a)

= sin (a) \cdot 1 + sin (a) sin (a) + sin (a) sin^{2} (a)

Simplify

sin (a) \cdot 1 + sin (a) sin (a) + sin (a) sin^{2} (a) : sin (a) + sin^{2} (a) + sin^{3} (a)

= sin (a) + sin^{2} (a) + sin^{3} (a)

4 (3 s^{2} (2 s^{2} + 25 s + \frac{5}{s}) + 22 s^{2}) + 10

3 x^{2} y d x + (x^{3} + y^{3}) d y

- (x^{2} e^{x}) (2 x + e^{x})

\frac{d}{d t} ((z (t, x, y)) (x^{2} y - y^{2}))

3 e^{x} tan (y) d x + (2 - e^{x}) sec^{2} (y) d y

What is expand sin(a)*(1+sin(a)+sin^2(a)) ?
The solution to expand sin(a)*(1+sin(a)+sin^2(a)) is sin(a)+sin^2(a)+sin^3(a)