What is (rcos(θ))^2(rsin(θ))^2 ?

The solution to (rcos(θ))^2(rsin(θ))^2 is r^4cos^2(θ)sin^2(θ)

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simplify (rcos(θ))^2(rsin(θ))^2

simplify

(r cos (θ))^{2} (r sin (θ))^{2}

r^{4} cos^{2} (θ) sin^{2} (θ)

Solution steps

(r cos (θ))^{2} (r sin (θ))^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(r cos (θ))^{2} = r^{2} cos^{2} (θ)

= r^{2} cos^{2} (θ) (r sin (θ))^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(r sin (θ))^{2} = r^{2} sin^{2} (θ)

= r^{2} cos^{2} (θ) r^{2} sin^{2} (θ)

Simplify

r^{2} r^{2} : r^{4}

= r^{4} cos^{2} (θ) sin^{2} (θ)

e^{- a r c t a n (x)}

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

(5 - 2 x)^{- 1}

(- 11) x^{3} \cdot (- 2) x^{3}

What is (rcos(θ))^2(rsin(θ))^2 ?
The solution to (rcos(θ))^2(rsin(θ))^2 is r^4cos^2(θ)sin^2(θ)