What is the general solution for sin(x)=0.71 ?

The general solution for sin(x)=0.71 is x=0.78949…+2pin,x=pi-0.78949…+2pin

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sin(x)=0.71

sin (x) = 0.71

x = 0.78949 \dots + 2 πn, x = π - 0.78949 \dots + 2 πn

Solution steps

sin (x) = 0.71

Apply trig inverse properties

x = arcsin (0.71) + 2 πn, x = π - arcsin (0.71) + 2 πn

Show solutions in decimal form

x = 0.78949 \dots + 2 πn, x = π - 0.78949 \dots + 2 πn

sin (2 x) + 2 sin (x) - cos (x) - 1 = 0

cos (2 x) = - 0.4, - 18 0^{\circ} \leq x \leq 18 0^{\circ}

cos (x) = \frac{- 4}{\frac{8}{3} 3}

- 2 tan (x) + 6 = 8

2 sin (x) = 1.564

What is the general solution for sin(x)=0.71 ?
The general solution for sin(x)=0.71 is x=0.78949…+2pin,x=pi-0.78949…+2pin