What is the general solution for sin(x)=0.45 ?

The general solution for sin(x)=0.45 is x=0.46676…+2pin,x=pi-0.46676…+2pin

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sin(x)=0.45

sin (x) = 0.45

x = 0.46676 \dots + 2 πn, x = π - 0.46676 \dots + 2 πn

Degrees

x = 26.74368 \dots^{\circ} + 36 0^{\circ} n, x = 153.25631 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = 0.45

Apply trig inverse properties

sin (x) = 0.45

General solutions for

sin (x) = 0.45

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

x = arcsin (0.45) + 2 πn, x = π - arcsin (0.45) + 2 πn

x = arcsin (0.45) + 2 πn, x = π - arcsin (0.45) + 2 πn

Show solutions in decimal form

x = 0.46676 \dots + 2 πn, x = π - 0.46676 \dots + 2 πn

sin (x) = 0.42

- 3 cos (θ) + 3 = 2 sin^{2} (θ)

2 = 2 sin (θ)

sin (a) = 1

4 cos (2 t) = 0

What is the general solution for sin(x)=0.45 ?
The general solution for sin(x)=0.45 is x=0.46676…+2pin,x=pi-0.46676…+2pin