What is the general solution for 3arcsin(x)= pi/2 ?

The general solution for 3arcsin(x)= pi/2 is x= 1/2

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3arcsin(x)= pi/2

3 arcsin (x) = \frac{π}{2}

x = \frac{1}{2}

Solution steps

3 arcsin (x) = \frac{π}{2}

Divide both sides by

3

arcsin (x) = \frac{π}{6}

Apply trig inverse properties

x = \frac{1}{2}

3 cos^{2} (x) - 1 = sin^{2} (x) + 2 sin (x)

arctan (x) = 26

(4 sin^{2} (x) - 3) (cos (x) - 1) = 0

\frac{sin ( 3 1 ^{\circ} )}{12} = \frac{sin ( x )}{16}

tan (θ) = - \frac{8}{6}

What is the general solution for 3arcsin(x)= pi/2 ?
The general solution for 3arcsin(x)= pi/2 is x= 1/2