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Popular >

inverse of 4sin(x)

Solution

inverse

4 sin (x)

Solution

arcsin (\frac{x}{4})

Solution steps

Solve for

sin (x), y = 4 sin (x)

sin (x) = \frac{y}{4}

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

arcsin (\frac{y}{4})

Substitute

y = x

arcsin (\frac{x}{4})

Popular Examples

periodicity of f(x)=sin(x/2+pi/6)+1 periodicity

f (x) = sin (\frac{x}{2} + \frac{π}{6}) + 1

symmetry (x^2+2)/(x-2)symmetry

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

intercepts of f(x)=((x-1)(x+3))/(x^2-4)intercepts

f (x) = \frac{( x - 1 ) ( x + 3 )}{x ^{2} - 4}

extreme 2x^6-3x^5 extreme points

2 x^{6} - 3 x^{5}

shift f(x)=2sin(pi/3 x+pi)-4 shift

f (x) = 2 sin (\frac{π}{3} x + π) - 4

Frequently Asked Questions (FAQ)

What is the inverse of 4sin(x) ?
The inverse of 4sin(x) is arcsin(x/4)