What is sqrt(cos(x)-cos^3(x)) ?

The solution to sqrt(cos(x)-cos^3(x)) is sin(x)sqrt(cos(x))

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simplify sqrt(cos(x)-cos^3(x))

simplify

cos (x) - cos^{3} (x)

sin (x) cos (x)

Solution steps

cos (x) - cos^{3} (x)

Simplify

cos (x) - cos^{3} (x) : sin^{2} (x) cos (x)

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

Apply radical rule:

assuming

a \geq 0, b \geq 0

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

Apply radical rule:

assuming

a \geq 0

sin^{2} (x) = sin (x)

= sin (x) cos (x)

2 \cdot cos (\frac{π}{4} + α)

sin (\frac{75 π}{2} - 75 x)

tan (sin (- 1 (\frac{x}{2})))

sin (- 1^{n})

tan (arcsin (\frac{x}{8}))

What is sqrt(cos(x)-cos^3(x)) ?
The solution to sqrt(cos(x)-cos^3(x)) is sin(x)sqrt(cos(x))