What is the general solution for sin(x)=0.3352 ?

The general solution for sin(x)=0.3352 is x=0.34181…+2pin,x=pi-0.34181…+2pin

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sin(x)=0.3352

sin (x) = 0.3352

x = 0.34181 \dots + 2 πn, x = π - 0.34181 \dots + 2 πn

Degrees

x = 19.58470 \dots^{\circ} + 36 0^{\circ} n, x = 160.41529 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = 0.3352

Apply trig inverse properties

sin (x) = 0.3352

General solutions for

sin (x) = 0.3352

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

x = arcsin (0.3352) + 2 πn, x = π - arcsin (0.3352) + 2 πn

x = arcsin (0.3352) + 2 πn, x = π - arcsin (0.3352) + 2 πn

Show solutions in decimal form

x = 0.34181 \dots + 2 πn, x = π - 0.34181 \dots + 2 πn

tan^{2} (3 y) - 2 sec (3 y) - 2 = 0

cos^{2} (2 x) - sin^{2} (2 x) = 1

sin^{4} (x) = - \frac{1}{8}

sin (θ) = 0.321

sin (x + 7 5^{\circ}) = \frac{3}{2}

What is the general solution for sin(x)=0.3352 ?
The general solution for sin(x)=0.3352 is x=0.34181…+2pin,x=pi-0.34181…+2pin