What is the general solution for sin(x)= 18/31 ?

The general solution for sin(x)= 18/31 is x=0.61952…+2pin,x=pi-0.61952…+2pin

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sin(x)= 18/31

sin (x) = \frac{18}{31}

x = 0.61952 \dots + 2 πn, x = π - 0.61952 \dots + 2 πn

Degrees

x = 35.49593 \dots^{\circ} + 36 0^{\circ} n, x = 144.50406 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{18}{31}

Apply trig inverse properties

sin (x) = \frac{18}{31}

General solutions for

sin (x) = \frac{18}{31}

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

x = arcsin (\frac{18}{31}) + 2 πn, x = π - arcsin (\frac{18}{31}) + 2 πn

x = arcsin (\frac{18}{31}) + 2 πn, x = π - arcsin (\frac{18}{31}) + 2 πn

Show solutions in decimal form

x = 0.61952 \dots + 2 πn, x = π - 0.61952 \dots + 2 πn

4 cos^{3} (x) - 3 cos (x) = - 0.7071

2 tan (x) = tan (2 x)

sin^{2} (θ) = 3 (cos (- θ) + 1)

arctan (x \cdot 10000 π) = 12 6^{\circ}

sin^{2} (x) \cdot cos^{2} (x) = 1

What is the general solution for sin(x)= 18/31 ?
The general solution for sin(x)= 18/31 is x=0.61952…+2pin,x=pi-0.61952…+2pin