What is the general solution for pi/2 =(arcsin(x))/c ?

The general solution for pi/2 =(arcsin(x))/c is x=sin((pic)/2)

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pi/2 =(arcsin(x))/c

\frac{π}{2} = \frac{arcsin ( x )}{c}

x = sin (\frac{π c}{2})

Solution steps

\frac{π}{2} = \frac{arcsin ( x )}{c}

Switch sides

\frac{arcsin ( x )}{c} = \frac{π}{2}

Multiply both sides by

c

\frac{arcsin ( x )}{c} = \frac{π}{2}

Multiply both sides by

c

\frac{arcsin ( x ) c}{c} = \frac{π c}{2}; c \neq = 0

Simplify

arcsin (x) = \frac{π c}{2}; c \neq = 0

arcsin (x) = \frac{π c}{2}; c \neq = 0

Apply trig inverse properties

arcsin (x) = \frac{π c}{2}

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

x = sin (\frac{π c}{2})

x = sin (\frac{π c}{2})

6 sin^{2} (x) + 16 sin (x) cos (x) - 6 cos^{2} (x) = 0

sec^{2} (t) = 0

x, t = tan (\frac{x}{2})

sin^{2} (x) = 8 cos^{2} (x)

sin (x) + cos (x) = 0, 0^{\circ} \leq x \leq 36 0^{\circ}

What is the general solution for pi/2 =(arcsin(x))/c ?
The general solution for pi/2 =(arcsin(x))/c is x=sin((pic)/2)