What is the general solution for sin(x)=0.89 ?

The general solution for sin(x)=0.89 is x=1.09734…+2pin,x=pi-1.09734…+2pin

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sin(x)=0.89

sin (x) = 0.89

x = 1.09734 \dots + 2 πn, x = π - 1.09734 \dots + 2 πn

Degrees

x = 62.87324 \dots^{\circ} + 36 0^{\circ} n, x = 117.12675 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = 0.89

Apply trig inverse properties

sin (x) = 0.89

General solutions for

sin (x) = 0.89

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

x = arcsin (0.89) + 2 πn, x = π - arcsin (0.89) + 2 πn

x = arcsin (0.89) + 2 πn, x = π - arcsin (0.89) + 2 πn

Show solutions in decimal form

x = 1.09734 \dots + 2 πn, x = π - 1.09734 \dots + 2 πn

sin (x) = 0.02

3 csc (x) - 2 = 4

sec (x) - sin (x) tan (x) = cos (x)

sec (x) - cos (x) = sin (x) tan (x)

csc (x) - sin (x) = cot (x) cos (x)

What is the general solution for sin(x)=0.89 ?
The general solution for sin(x)=0.89 is x=1.09734…+2pin,x=pi-1.09734…+2pin