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

Degrees

x = 18.92464 \dots^{\circ} + 36 0^{\circ} n, x = 161.07535 \dots^{\circ} + 36 0^{\circ} n

Solution steps

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

Apply trig inverse properties

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

General solutions for

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

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

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

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

sec (4 x) - 9 = 0

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

3 sin (2 x - 1 5^{\circ}) = cos (2 x - 1 5^{\circ})

2 sin^{2} (x) + sin (x) = 0, 0 \leq x \leq 2 π

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

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