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

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

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

simplify

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

cos (a)

Solution steps

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

Use the Pythagorean identity:

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

= cos (a) \cdot 1

Factor

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

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

= cos (a)

\frac{y ^{2} - 25}{y ^{3} - 125}

(2 x - 1) (x^{2} - 5) (x^{3} - 1)

5 ∣ 2 - 8 ∣

6160 - 40

(3 - 5 b)^{2}

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