What is the general solution for sin(x)=0.809 ?

The general solution for sin(x)=0.809 is x=0.94244…+2pin,x=pi-0.94244…+2pin

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sin(x)=0.809

sin (x) = 0.809

x = 0.94244 \dots + 2 πn, x = π - 0.94244 \dots + 2 πn

Degrees

x = 53.99834 \dots^{\circ} + 36 0^{\circ} n, x = 126.00165 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = 0.809

Apply trig inverse properties

sin (x) = 0.809

General solutions for

sin (x) = 0.809

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

x = arcsin (0.809) + 2 πn, x = π - arcsin (0.809) + 2 πn

x = arcsin (0.809) + 2 πn, x = π - arcsin (0.809) + 2 πn

Show solutions in decimal form

x = 0.94244 \dots + 2 πn, x = π - 0.94244 \dots + 2 πn

\frac{sin ( x )}{700} = \frac{sin ( 4 5 ^{\circ} )}{497}

25 sin (x) - 1.5 cos (x) = 20

cos (θ) = \frac{1}{2}, 0 \leq θ \leq 4 π

sinh^{2} (x) = 2 sinh (x) cosh (x)

(cos (x) - 1) (sin (x) - 1) = 0

What is the general solution for sin(x)=0.809 ?
The general solution for sin(x)=0.809 is x=0.94244…+2pin,x=pi-0.94244…+2pin