What is the general solution for sin(x)= 15/31 ?

The general solution for sin(x)= 15/31 is x=0.50507…+2pin,x=pi-0.50507…+2pin

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sin(x)= 15/31

sin (x) = \frac{15}{31}

x = 0.50507 \dots + 2 πn, x = π - 0.50507 \dots + 2 πn

Solution steps

sin (x) = \frac{15}{31}

Apply trig inverse properties

x = arcsin (\frac{15}{31}) + 2 πn, x = π - arcsin (\frac{15}{31}) + 2 πn

Show solutions in decimal form

x = 0.50507 \dots + 2 πn, x = π - 0.50507 \dots + 2 πn

4 cot (θ) - 1 = 0

x, 4 cos^{2} (x) = 5 - 4 sin (x)

cos (x) = \frac{2}{3}, - \frac{5 π}{2} < x < 2 π

\frac{3 sin ( x ) - cos ( x )}{sin ( x ) + cos ( x )} = 4

\frac{1}{e ^{s i n (x)}} = 1

What is the general solution for sin(x)= 15/31 ?
The general solution for sin(x)= 15/31 is x=0.50507…+2pin,x=pi-0.50507…+2pin