What is the general solution for sin(x)= 8/(12.8) ?

The general solution for sin(x)= 8/(12.8) is x=0.67513…+2pin,x=pi-0.67513…+2pin

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sin(x)= 8/(12.8)

sin (x) = \frac{8}{12.8}

x = 0.67513 \dots + 2 πn, x = π - 0.67513 \dots + 2 πn

Degrees

x = 38.68218 \dots^{\circ} + 36 0^{\circ} n, x = 141.31781 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{8}{12.8}

Apply trig inverse properties

sin (x) = \frac{8}{12.8}

General solutions for

sin (x) = \frac{8}{12.8}

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

x = arcsin (\frac{8}{12.8}) + 2 πn, x = π - arcsin (\frac{8}{12.8}) + 2 πn

x = arcsin (\frac{8}{12.8}) + 2 πn, x = π - arcsin (\frac{8}{12.8}) + 2 πn

Show solutions in decimal form

x = 0.67513 \dots + 2 πn, x = π - 0.67513 \dots + 2 πn

3 tan^{2} (x) - 2 = 5 sec^{2} (x) - 9

x, z = arcsin^{3} (3 x + 2 y)

(3 sec (θ) - 23) (2 sin (θ) - 1) = 0, 2 π

7 cos (θ) - 3 = 3 sin^{2} (θ)

cos (\frac{π}{6} t) = cos (\frac{π}{6} (t - 3))

What is the general solution for sin(x)= 8/(12.8) ?
The general solution for sin(x)= 8/(12.8) is x=0.67513…+2pin,x=pi-0.67513…+2pin