What is the general solution for sin(x)= 15/19 ?

The general solution for sin(x)= 15/19 is x=0.90995…+2pin,x=pi-0.90995…+2pin

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sin(x)= 15/19

sin (x) = \frac{15}{19}

x = 0.90995 \dots + 2 πn, x = π - 0.90995 \dots + 2 πn

Degrees

x = 52.13635 \dots^{\circ} + 36 0^{\circ} n, x = 127.86364 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{15}{19}

Apply trig inverse properties

sin (x) = \frac{15}{19}

General solutions for

sin (x) = \frac{15}{19}

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

x = arcsin (\frac{15}{19}) + 2 πn, x = π - arcsin (\frac{15}{19}) + 2 πn

x = arcsin (\frac{15}{19}) + 2 πn, x = π - arcsin (\frac{15}{19}) + 2 πn

Show solutions in decimal form

x = 0.90995 \dots + 2 πn, x = π - 0.90995 \dots + 2 πn

12 cos (x) + 6 sin (2 x) = 0, 0 \leq x \leq 2 π

- 5 = ((sin (x)) (cos (x)))

\frac{179}{sin ( x + 2 0 ^{\circ} )} = \frac{125}{sin ( 12 5 ^{\circ} )}

sin (x) = \frac{15}{12}

sin (z) = 5

What is the general solution for sin(x)= 15/19 ?
The general solution for sin(x)= 15/19 is x=0.90995…+2pin,x=pi-0.90995…+2pin