What is the general solution for sin(x)=0.87 ?

The general solution for sin(x)=0.87 is x=1.05520…+2pin,x=pi-1.05520…+2pin

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sin(x)=0.87

sin (x) = 0.87

x = 1.05520 \dots + 2 πn, x = π - 1.05520 \dots + 2 πn

Solution steps

sin (x) = 0.87

Apply trig inverse properties

x = arcsin (0.87) + 2 πn, x = π - arcsin (0.87) + 2 πn

Show solutions in decimal form

x = 1.05520 \dots + 2 πn, x = π - 1.05520 \dots + 2 πn

sin (x) = 0.14

sin (x) = 0.41

sin (x) = 0.39

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

sin (x) = 0.96

What is the general solution for sin(x)=0.87 ?
The general solution for sin(x)=0.87 is x=1.05520…+2pin,x=pi-1.05520…+2pin