What is the general solution for solvefor x,y=arcsin(xy) ?

The general solution for solvefor x,y=arcsin(xy) is x=(sin(y))/y

Popular >

solvefor x,y=arcsin(xy)

solve for

x, y = arcsin (x y)

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

Solution steps

y = arcsin (x y)

Switch sides

arcsin (x y) = y

Apply trig inverse properties

arcsin (x y) = y

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

x y = sin (y)

x y = sin (y)

Solve

x y = sin (y) : x = \frac{sin ( y )}{y}; y \neq = 0

x y = sin (y)

Divide both sides by

y; y \neq = 0

x y = sin (y)

Divide both sides by

y; y \neq = 0

\frac{x y}{y} = \frac{sin ( y )}{y}; y \neq = 0

Simplify

x = \frac{sin ( y )}{y}; y \neq = 0

x = \frac{sin ( y )}{y}; y \neq = 0

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

9 cos^{2} (θ) - 2 sin (θ) - 9 = 6 sin (θ) - 1

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

(\frac{- 2}{2}) (sin (θ) - cos (θ)) = 0

3 \cdot sin (x) + 4 \cdot cos (x) = 2

1 = sin (x) + cos (x)

What is the general solution for solvefor x,y=arcsin(xy) ?
The general solution for solvefor x,y=arcsin(xy) is x=(sin(y))/y