What is the general solution for solvefor x,arcsin(3x-4y)= pi/2 ?

The general solution for solvefor x,arcsin(3x-4y)= pi/2 is x= 1/3+(4y)/3

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solvefor x,arcsin(3x-4y)= pi/2

solve for

x, arcsin (3 x - 4 y) = \frac{π}{2}

x = \frac{1}{3} + \frac{4 y}{3}

Solution steps

arcsin (3 x - 4 y) = \frac{π}{2}

Apply trig inverse properties

3 x - 4 y = 1

Solve

3 x - 4 y = 1 : x = \frac{1}{3} + \frac{4 y}{3}

x = \frac{1}{3} + \frac{4 y}{3}

sin (x) a = \frac{π}{3}

sin (x - \frac{π}{2}) = cos (x)

cos (θ) = \frac{6}{14 \cdot 9}

sin (θ + \frac{π}{4}) = \frac{1}{2}

(cot (x) - 1) (sin (x) - 1) = 0

What is the general solution for solvefor x,arcsin(3x-4y)= pi/2 ?
The general solution for solvefor x,arcsin(3x-4y)= pi/2 is x= 1/3+(4y)/3