What is the general solution for solvefor x,arcsin(y)=arcsin(x)+pi/3 ?

The general solution for solvefor x,arcsin(y)=arcsin(x)+pi/3 is x=sin(arcsin(y)-pi/3)

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solvefor x,arcsin(y)=arcsin(x)+pi/3

solve for

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

x = sin (arcsin (y) - \frac{π}{3})

Solution steps

arcsin (y) = arcsin (x) + \frac{π}{3}

Switch sides

arcsin (x) + \frac{π}{3} = arcsin (y)

Move

\frac{π}{3}

to the right side

arcsin (x) + \frac{π}{3} = arcsin (y)

Subtract

\frac{π}{3}

from both sides

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

Simplify

arcsin (x) = arcsin (y) - \frac{π}{3}

arcsin (x) = arcsin (y) - \frac{π}{3}

Apply trig inverse properties

arcsin (x) = arcsin (y) - \frac{π}{3}

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

x = sin (arcsin (y) - \frac{π}{3})

x = sin (arcsin (y) - \frac{π}{3})

t, f = cos (b t)

3 cos (x) + sin (x) = 0

3 sec (2 x) = 2

cos^{2} (x) = - \frac{1}{2}

sin (6 x) = - \frac{1}{2}

What is the general solution for solvefor x,arcsin(y)=arcsin(x)+pi/3 ?
The general solution for solvefor x,arcsin(y)=arcsin(x)+pi/3 is x=sin(arcsin(y)-pi/3)