What is cot(θ)sqrt(1-cos^2(θ)) ?

The solution to cot(θ)sqrt(1-cos^2(θ)) is cos(θ)

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simplify cot(θ)sqrt(1-cos^2(θ))

simplify

cot (θ) 1 - cos^{2} (θ)

cos (θ)

Solution steps

cot (θ) 1 - cos^{2} (θ)

Use the Pythagorean identity:

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

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

= sin^{2} (θ) cot (θ)

sin^{2} (θ) = sin (θ)

= sin (θ) cot (θ)

Express with sin, cos

= cos (θ)

tan^{2} (x + 4 5^{\circ})

cos (9 0^{\circ} - x) - sin (x)

sin (\frac{3 π}{2} - A)

cos (10 π - x)

sin (2 π \cdot 1 \cdot t - 0.25 π)

What is cot(θ)sqrt(1-cos^2(θ)) ?
The solution to cot(θ)sqrt(1-cos^2(θ)) is cos(θ)