What is the general solution for sin(x)=0.653 ?

The general solution for sin(x)=0.653 is x=0.71153…+2pin,x=pi-0.71153…+2pin

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sin(x)=0.653

sin (x) = 0.653

x = 0.71153 \dots + 2 πn, x = π - 0.71153 \dots + 2 πn

Solution steps

sin (x) = 0.653

Apply trig inverse properties

x = arcsin (0.653) + 2 πn, x = π - arcsin (0.653) + 2 πn

Show solutions in decimal form

x = 0.71153 \dots + 2 πn, x = π - 0.71153 \dots + 2 πn

- 50 cos (x) - 86.6025400000000 \dots sin (x) = - 50

sin (\frac{1}{2} x) + 1 = 0

4 cos^{2} (x) + 8 cos (x) + 4 = 0

4 sin (x) cos (x) = 22 cos (x)

t, x = cos^{2} (t)

What is the general solution for sin(x)=0.653 ?
The general solution for sin(x)=0.653 is x=0.71153…+2pin,x=pi-0.71153…+2pin