What is expand (cos(θ)+sin(θ))^3 ?

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

Popular >

expand (cos(θ)+sin(θ))^3

expand

(cos (θ) + sin (θ))^{3}

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

Solution steps

(cos (θ) + sin (θ))^{3}

Apply Perfect Cube Formula:

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

(cos (θ) + sin (θ))^{3} = cos^{3} (θ) + 3 cos^{2} (θ) sin (θ) + 3 cos (θ) sin^{2} (θ) + sin^{3} (θ)

= cos^{3} (θ) + 3 cos^{2} (θ) sin (θ) + 3 cos (θ) sin^{2} (θ) + sin^{3} (θ)

= cos^{3} (θ) + 3 cos^{2} (θ) sin (θ) + 3 sin^{2} (θ) cos (θ) + sin^{3} (θ)

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

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

\frac{d ^{3}}{d x ^{3}} ((y) (6 x - 4 x^{3} + 2 - x^{4}))

\frac{1}{s ( a ^{2} + w ^{2} )}

(q + 2) (q - 2)

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