What is the general solution for sin(x)=0.88 ?

The general solution for sin(x)=0.88 is x=1.07586…+2pin,x=pi-1.07586…+2pin

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sin(x)=0.88

sin (x) = 0.88

x = 1.07586 \dots + 2 πn, x = π - 1.07586 \dots + 2 πn

Degrees

x = 61.64236 \dots^{\circ} + 36 0^{\circ} n, x = 118.35763 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = 0.88

Apply trig inverse properties

sin (x) = 0.88

General solutions for

sin (x) = 0.88

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

x = arcsin (0.88) + 2 πn, x = π - arcsin (0.88) + 2 πn

x = arcsin (0.88) + 2 πn, x = π - arcsin (0.88) + 2 πn

Show solutions in decimal form

x = 1.07586 \dots + 2 πn, x = π - 1.07586 \dots + 2 πn

tan (b) = 1

5 cos^{2} (θ) - 1 = cos^{2} (θ)

cos (x) = \frac{2}{9}

x, tan (x) + tan (y) = 1

x, 4 cos (x) cos (y) = 3

What is the general solution for sin(x)=0.88 ?
The general solution for sin(x)=0.88 is x=1.07586…+2pin,x=pi-1.07586…+2pin