What is the general solution for sin(x)= 97/270 ?

The general solution for sin(x)= 97/270 is x=0.36747…+2pin,x=pi-0.36747…+2pin

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sin(x)= 97/270

sin (x) = \frac{97}{270}

x = 0.36747 \dots + 2 πn, x = π - 0.36747 \dots + 2 πn

Solution steps

sin (x) = \frac{97}{270}

Apply trig inverse properties

x = arcsin (\frac{97}{270}) + 2 πn, x = π - arcsin (\frac{97}{270}) + 2 πn

Show solutions in decimal form

x = 0.36747 \dots + 2 πn, x = π - 0.36747 \dots + 2 πn

3 cos (3 x) + 1 = 0

sin (2 A) = sin (A)

csc (θ) = \frac{3}{2}

\frac{cos ( θ )}{sin ( θ )} = - 1

cos (B) = \frac{12}{13}

What is the general solution for sin(x)= 97/270 ?
The general solution for sin(x)= 97/270 is x=0.36747…+2pin,x=pi-0.36747…+2pin