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Popular >

inverse of-1/3 sin(x/3)

Solution

inverse

- \frac{1}{3} sin (\frac{x}{3})

Solution

3 arcsin (- 3 x)

Solution steps

Solve for

sin (\frac{x}{3}), y = - \frac{1}{3} sin (\frac{x}{3})

sin (\frac{x}{3}) = - 3 y

sin (a) = b \Rightarrow a = arcsin (b)

\frac{x}{3} = arcsin (- 3 y)

Solve for

x, \frac{x}{3} = arcsin (- 3 y)

3 arcsin (- 3 y)

Substitute

y = x

3 arcsin (- 3 x)

Popular Examples

intercepts of f(x)=((2))/((x+2)^2)intercepts

f (x) = \frac{( 2 )}{( x + 2 ) ^{2}}

domain of (x-1)/(x^2+1)domain

\frac{x - 1}{x ^{2} + 1}

inflection f(x)=(1+x)/(1+x^2)inflection points

f (x) = \frac{1 + x}{1 + x ^{2}}

domain of f(x)=2sqrt(x+5)domain

f (x) = 2 x + 5

domain of f(x)= 3/(2/x-1)domain

f (x) = \frac{3}{\frac{2}{x} - 1}

Frequently Asked Questions (FAQ)

What is the inverse of-1/3 sin(x/3) ?
The inverse of-1/3 sin(x/3) is 3arcsin(-3x)