What is sin(arccos(1-y/r)) ?

The solution to sin(arccos(1-y/r)) is (sqrt(2yr-y^2))/r

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simplify sin(arccos(1-y/r))

simplify

sin (arccos (1 - \frac{y}{r}))

\frac{2 yr - y ^{2}}{r}

Solution steps

sin (arccos (1 - \frac{y}{r}))

Use the following identity:

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

= 1 - (1 - \frac{y}{r})^{2}

Simplify

= \frac{2 yr - y ^{2}}{r}

(3)^{2} + (- 3 tan (t))^{2}

cos (\frac{π}{2} - 2 x)

cos (- 2 nπ)

f (x) = cos (9 0^{\circ} + arccos (x))

\frac{sin ( π + x )}{cos ( 2 π + x )}

What is sin(arccos(1-y/r)) ?
The solution to sin(arccos(1-y/r)) is (sqrt(2yr-y^2))/r