What is sin(arccos(5x-3)) ?

The solution to sin(arccos(5x-3)) is sqrt(-25x^2+30x-8)

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simplify sin(arccos(5x-3))

simplify

sin (arccos (5 x - 3))

- 25 x^{2} + 30 x - 8

Solution steps

sin (arccos (5 x - 3))

Use the following identity:

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

= 1 - (5 x - 3)^{2}

Expand

1 - (5 x - 3)^{2} : - 25 x^{2} + 30 x - 8

= - 25 x^{2} + 30 x - 8

cot (\frac{53 π}{2} + x)

tan (A + \frac{π}{2})

sin (x) + cos (\frac{π}{2} - x)

sin (0.2 (- θ) + 2 π)

tan (54 0^{\circ} + x)

What is sin(arccos(5x-3)) ?
The solution to sin(arccos(5x-3)) is sqrt(-25x^2+30x-8)