What is the general solution for sin(x)=0.6 ?

The general solution for sin(x)=0.6 is x=0.64350…+2pin,x=pi-0.64350…+2pin

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sin(x)=0.6

sin (x) = 0.6

x = 0.64350 \dots + 2 πn, x = π - 0.64350 \dots + 2 πn

Degrees

x = 36.86989 \dots^{\circ} + 36 0^{\circ} n, x = 143.13010 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = 0.6

Apply trig inverse properties

sin (x) = 0.6

General solutions for

sin (x) = 0.6

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

x = arcsin (0.6) + 2 πn, x = π - arcsin (0.6) + 2 πn

x = arcsin (0.6) + 2 πn, x = π - arcsin (0.6) + 2 πn

Show solutions in decimal form

x = 0.64350 \dots + 2 πn, x = π - 0.64350 \dots + 2 πn

tan (3 x) = - 1

cos (2 x) - 1 = 0

2 sin (θ) + 1 = 0

sin (t) = 0

sin (θ) = 2

What is the general solution for sin(x)=0.6 ?
The general solution for sin(x)=0.6 is x=0.64350…+2pin,x=pi-0.64350…+2pin