What is the general solution for sin(x)=(5/12) ?

The general solution for sin(x)=(5/12) is x=0.42977…+2pin,x=pi-0.42977…+2pin

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sin(x)=(5/12)

sin (x) = (\frac{5}{12})

x = 0.42977 \dots + 2 πn, x = π - 0.42977 \dots + 2 πn

Degrees

x = 24.62431 \dots^{\circ} + 36 0^{\circ} n, x = 155.37568 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = (\frac{5}{12})

Apply trig inverse properties

sin (x) = \frac{5}{12}

General solutions for

sin (x) = \frac{5}{12}

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

x = arcsin (\frac{5}{12}) + 2 πn, x = π - arcsin (\frac{5}{12}) + 2 πn

x = arcsin (\frac{5}{12}) + 2 πn, x = π - arcsin (\frac{5}{12}) + 2 πn

Show solutions in decimal form

x = 0.42977 \dots + 2 πn, x = π - 0.42977 \dots + 2 πn

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

3 cos (3 x) + 1 = 0

sin (2 A) = sin (A)

csc (θ) = \frac{3}{2}

\frac{cos ( θ )}{sin ( θ )} = - 1

What is the general solution for sin(x)=(5/12) ?
The general solution for sin(x)=(5/12) is x=0.42977…+2pin,x=pi-0.42977…+2pin