What is the general solution for sin(x)=0.3 ?

The general solution for sin(x)=0.3 is x=0.30469…+2pin,x=pi-0.30469…+2pin

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sin(x)=0.3

sin (x) = 0.3

x = 0.30469 \dots + 2 πn, x = π - 0.30469 \dots + 2 πn

Degrees

x = 17.45760 \dots^{\circ} + 36 0^{\circ} n, x = 162.54239 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = 0.3

Apply trig inverse properties

sin (x) = 0.3

General solutions for

sin (x) = 0.3

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

x = arcsin (0.3) + 2 πn, x = π - arcsin (0.3) + 2 πn

x = arcsin (0.3) + 2 πn, x = π - arcsin (0.3) + 2 πn

Show solutions in decimal form

x = 0.30469 \dots + 2 πn, x = π - 0.30469 \dots + 2 πn

sin (3 θ) = 0

cot (x) - 1 = 0

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

cos (2 θ) + sin^{2} (θ) = 0

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

What is the general solution for sin(x)=0.3 ?
The general solution for sin(x)=0.3 is x=0.30469…+2pin,x=pi-0.30469…+2pin