What is the general solution for sin(x)=0.33 ?

The general solution for sin(x)=0.33 is x=0.33630…+2pin,x=pi-0.33630…+2pin

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sin(x)=0.33

sin (x) = 0.33

x = 0.33630 \dots + 2 πn, x = π - 0.33630 \dots + 2 πn

Degrees

x = 19.26877 \dots^{\circ} + 36 0^{\circ} n, x = 160.73122 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = 0.33

Apply trig inverse properties

sin (x) = 0.33

General solutions for

sin (x) = 0.33

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

x = arcsin (0.33) + 2 πn, x = π - arcsin (0.33) + 2 πn

x = arcsin (0.33) + 2 πn, x = π - arcsin (0.33) + 2 πn

Show solutions in decimal form

x = 0.33630 \dots + 2 πn, x = π - 0.33630 \dots + 2 πn

2 cos (2 x) = - 1

3 sin (x) + cos^{2} (x) = 2

5 sin (2 θ) - 7 sin (θ) = 0

cos (θ) = \frac{3}{3}

arctan (x + 1) + arctan (x - 1) = arctan (2)

What is the general solution for sin(x)=0.33 ?
The general solution for sin(x)=0.33 is x=0.33630…+2pin,x=pi-0.33630…+2pin