What is sin(arccos(x/(x+1))) ?

The solution to sin(arccos(x/(x+1))) is (sqrt(2x+1))/(x+1)

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simplify sin(arccos(x/(x+1)))

simplify

sin (arccos (\frac{x}{x + 1}))

\frac{2 x + 1}{x + 1}

Solution steps

sin (arccos (\frac{x}{x + 1}))

Use the following identity:

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

= 1 - (\frac{x}{x + 1})^{2}

Simplify

= \frac{2 x + 1}{x + 1}

cot (arccos (\frac{x}{15}))

sin (2 x + \frac{π}{6})

cos (x - \frac{3 π}{4})

tan (π - θ) + cot (\frac{π}{2} - θ)

cos^{2} (π + θ) + sin^{2} (π + θ)

What is sin(arccos(x/(x+1))) ?
The solution to sin(arccos(x/(x+1))) is (sqrt(2x+1))/(x+1)