What is the general solution for sin(x)=0.9906 ?

The general solution for sin(x)=0.9906 is x=1.43357…+2pin,x=pi-1.43357…+2pin

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sin(x)=0.9906

sin (x) = 0.9906

x = 1.43357 \dots + 2 πn, x = π - 1.43357 \dots + 2 πn

Degrees

x = 82.13783 \dots^{\circ} + 36 0^{\circ} n, x = 97.86216 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = 0.9906

Apply trig inverse properties

sin (x) = 0.9906

General solutions for

sin (x) = 0.9906

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

x = arcsin (0.9906) + 2 πn, x = π - arcsin (0.9906) + 2 πn

x = arcsin (0.9906) + 2 πn, x = π - arcsin (0.9906) + 2 πn

Show solutions in decimal form

x = 1.43357 \dots + 2 πn, x = π - 1.43357 \dots + 2 πn

sin (θ) = - 0.17

2 sin^{2} (x) - 1 = 0, - π \leq x \leq π

sin (θ) = - 0.22

\frac{3}{2} sec (θ) + 3 cos (θ) = 3

2 sec (x) cos^{2} (x) = csc^{2} (x) - cot^{2} (x)

What is the general solution for sin(x)=0.9906 ?
The general solution for sin(x)=0.9906 is x=1.43357…+2pin,x=pi-1.43357…+2pin