What is the general solution for sin(x)=0.96 ?

The general solution for sin(x)=0.96 is x=1.28700…+2pin,x=pi-1.28700…+2pin

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sin(x)=0.96

sin (x) = 0.96

x = 1.28700 \dots + 2 πn, x = π - 1.28700 \dots + 2 πn

Solution steps

sin (x) = 0.96

Apply trig inverse properties

x = arcsin (0.96) + 2 πn, x = π - arcsin (0.96) + 2 πn

Show solutions in decimal form

x = 1.28700 \dots + 2 πn, x = π - 1.28700 \dots + 2 πn

sin (θ) = 2

- cos (θ) - 4 = 2 cos^{2} (θ) - 5

3 cos^{2} (x) - cos (x) = 0

3 sin (x) + cos (x) = 1

2 cos (θ) - 3 = - 2

What is the general solution for sin(x)=0.96 ?
The general solution for sin(x)=0.96 is x=1.28700…+2pin,x=pi-1.28700…+2pin