What is the general solution for sin(x)=0.59 ?

The general solution for sin(x)=0.59 is x=0.63105…+2pin,x=pi-0.63105…+2pin

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sin(x)=0.59

sin (x) = 0.59

x = 0.63105 \dots + 2 πn, x = π - 0.63105 \dots + 2 πn

Degrees

x = 36.15700 \dots^{\circ} + 36 0^{\circ} n, x = 143.84299 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = 0.59

Apply trig inverse properties

sin (x) = 0.59

General solutions for

sin (x) = 0.59

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

x = arcsin (0.59) + 2 πn, x = π - arcsin (0.59) + 2 πn

x = arcsin (0.59) + 2 πn, x = π - arcsin (0.59) + 2 πn

Show solutions in decimal form

x = 0.63105 \dots + 2 πn, x = π - 0.63105 \dots + 2 πn

sin (x) = 0.74

sin (x) = 0.72

sin (x) = 0.28

sin (θ) = - \frac{3}{5}, cos (θ) = \frac{4}{5}, tan (θ), cot (θ)

cos (6 0^{\circ} - x) = 1

What is the general solution for sin(x)=0.59 ?
The general solution for sin(x)=0.59 is x=0.63105…+2pin,x=pi-0.63105…+2pin