What is the general solution for -6arcsin(3x)=pi ?

The general solution for -6arcsin(3x)=pi is x=-1/6

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-6arcsin(3x)=pi

- 6 arcsin (3 x) = π

x = - \frac{1}{6}

Solution steps

- 6 arcsin (3 x) = π

Divide both sides by

- 6

arcsin (3 x) = - \frac{π}{6}

Apply trig inverse properties

3 x = - \frac{1}{2}

Solve

3 x = - \frac{1}{2} : x = - \frac{1}{6}

x = - \frac{1}{6}

tan^{2} (p) = tan (p)

sin (x) + cos (x) = \frac{2}{3}

2 cos^{2} (2 θ) = 1 - cos (2 θ)

1 + tan^{2} (x) = 0

sin (x) = \frac{3}{8}

What is the general solution for -6arcsin(3x)=pi ?
The general solution for -6arcsin(3x)=pi is x=-1/6