What is the general solution for sin(x)= 33/80 ?

The general solution for sin(x)= 33/80 is x=0.42519…+2pin,x=pi-0.42519…+2pin

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sin(x)= 33/80

sin (x) = \frac{33}{80}

x = 0.42519 \dots + 2 πn, x = π - 0.42519 \dots + 2 πn

Degrees

x = 24.36197 \dots^{\circ} + 36 0^{\circ} n, x = 155.63802 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{33}{80}

Apply trig inverse properties

sin (x) = \frac{33}{80}

General solutions for

sin (x) = \frac{33}{80}

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

x = arcsin (\frac{33}{80}) + 2 πn, x = π - arcsin (\frac{33}{80}) + 2 πn

x = arcsin (\frac{33}{80}) + 2 πn, x = π - arcsin (\frac{33}{80}) + 2 πn

Show solutions in decimal form

x = 0.42519 \dots + 2 πn, x = π - 0.42519 \dots + 2 πn

3 sin (x) + 5 = - 2 sin (x)

a, s (t) = tan (a t + π)

0 = sec (x) tan (x)

sin (x - \frac{π}{2}) tan (x) = sin (x)

8 sin (x) + 12 = 16

What is the general solution for sin(x)= 33/80 ?
The general solution for sin(x)= 33/80 is x=0.42519…+2pin,x=pi-0.42519…+2pin