What is the general solution for solvefor x,arcsin(x)+arcsin(y)= pi/2 ?

The general solution for solvefor x,arcsin(x)+arcsin(y)= pi/2 is x=sin(pi/2-arcsin(y))

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solvefor x,arcsin(x)+arcsin(y)= pi/2

solvefor

x = sin (\frac{π}{2} - arcsin (y))

Solution steps

arcsin (x) + arcsin (y) = \frac{π}{2}

Move

arcsin (y)

to the right side

arcsin (x) + arcsin (y) = \frac{π}{2}

Subtract

arcsin (y)

from both sides

arcsin (x) + arcsin (y) - arcsin (y) = \frac{π}{2} - arcsin (y)

Simplify

arcsin (x) = \frac{π}{2} - arcsin (y)

arcsin (x) = \frac{π}{2} - arcsin (y)

Apply trig inverse properties

arcsin (x) = \frac{π}{2} - arcsin (y)

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

x = sin (\frac{π}{2} - arcsin (y))

x = sin (\frac{π}{2} - arcsin (y))

What is the general solution for solvefor x,arcsin(x)+arcsin(y)= pi/2 ?
The general solution for solvefor x,arcsin(x)+arcsin(y)= pi/2 is x=sin(pi/2-arcsin(y))