What is cos(arcsin((x-h)/r)) ?

The solution to cos(arcsin((x-h)/r)) is (sqrt(r^2-x^2+2hx-h^2))/r

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simplify cos(arcsin((x-h)/r))

simplify

cos (arcsin (\frac{x - h}{r}))

\frac{r ^{2} - x ^{2} + 2 h x - h ^{2}}{r}

Solution steps

cos (arcsin (\frac{x - h}{r}))

Use the following identity:

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

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

Simplify

= \frac{r ^{2} - x ^{2} + 2 h x - h ^{2}}{r}

sin (arcsec (\frac{x}{2}))

sin (θ + 9 0^{\circ})

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

tan (arccos (2 x))

4 cos (x + \frac{π}{3})

What is cos(arcsin((x-h)/r)) ?
The solution to cos(arcsin((x-h)/r)) is (sqrt(r^2-x^2+2hx-h^2))/r