What is the general solution for sin(x)=0.3437 ?

The general solution for sin(x)=0.3437 is x=0.35085…+2pin,x=pi-0.35085…+2pin

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sin(x)=0.3437

sin (x) = 0.3437

x = 0.35085 \dots + 2 πn, x = π - 0.35085 \dots + 2 πn

Degrees

x = 20.10245 \dots^{\circ} + 36 0^{\circ} n, x = 159.89754 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = 0.3437

Apply trig inverse properties

sin (x) = 0.3437

General solutions for

sin (x) = 0.3437

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

x = arcsin (0.3437) + 2 πn, x = π - arcsin (0.3437) + 2 πn

x = arcsin (0.3437) + 2 πn, x = π - arcsin (0.3437) + 2 πn

Show solutions in decimal form

x = 0.35085 \dots + 2 πn, x = π - 0.35085 \dots + 2 πn

16 sin^{2} (x) = 16 - 8 cos (x)

- 2 cos (x) - 3 sin (x) = 0

0.05 = \frac{sinh ( \frac{x}{2} )}{sinh ( x )}

1 + sin (x) = 3 cos (x)

cot^{2} (θ) = 3, 0 \leq x \leq 2 π

What is the general solution for sin(x)=0.3437 ?
The general solution for sin(x)=0.3437 is x=0.35085…+2pin,x=pi-0.35085…+2pin