What is the general solution for sin(x)= 12/37 ?

The general solution for sin(x)= 12/37 is x=0.33029…+2pin,x=pi-0.33029…+2pin

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sin(x)= 12/37

sin (x) = \frac{12}{37}

x = 0.33029 \dots + 2 πn, x = π - 0.33029 \dots + 2 πn

Solution steps

sin (x) = \frac{12}{37}

Apply trig inverse properties

x = arcsin (\frac{12}{37}) + 2 πn, x = π - arcsin (\frac{12}{37}) + 2 πn

Show solutions in decimal form

x = 0.33029 \dots + 2 πn, x = π - 0.33029 \dots + 2 πn

tan (θ) = \frac{- 2 3}{2}

sec (4 x) - 9 = 0

\frac{1}{3} cos (θ) = - \frac{3}{6}

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

cos (2 x) = 3 sin (2 x)

What is the general solution for sin(x)= 12/37 ?
The general solution for sin(x)= 12/37 is x=0.33029…+2pin,x=pi-0.33029…+2pin