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}

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