What is sin^3(a)+sin(a)cos^2(a) ?

The solution to sin^3(a)+sin(a)cos^2(a) is sin(a)

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simplify sin^3(a)+sin(a)cos^2(a)

simplify

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

sin (a)

Solution steps

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

Use the Pythagorean identity:

cos^{2} (x) + sin^{2} (x) = 1

= sin (a) \cdot 1

Factor

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

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

= sin (a)

\frac{x ^{2} - 3 x - 40}{x ^{2} - 8 x}

\frac{2 10}{5}

(5 x y^{2} + 3 x^{2} - 7) + (3 x^{2} y^{2} - x y^{2} + 3 y^{2} + 4)

(\frac{2 ^{5}}{2 ^{3}})^{2}

2 x (7 + 2 x)

What is sin^3(a)+sin(a)cos^2(a) ?
The solution to sin^3(a)+sin(a)cos^2(a) is sin(a)