What is the general solution for 0.79=sin(x) ?

The general solution for 0.79=sin(x) is x=0.91080…+2pin,x=pi-0.91080…+2pin

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0.79=sin(x)

0.79 = sin (x)

x = 0.91080 \dots + 2 πn, x = π - 0.91080 \dots + 2 πn

Solution steps

0.79 = sin (x)

Switch sides

sin (x) = 0.79

Apply trig inverse properties

x = arcsin (0.79) + 2 πn, x = π - arcsin (0.79) + 2 πn

Show solutions in decimal form

x = 0.91080 \dots + 2 πn, x = π - 0.91080 \dots + 2 πn

1 + cot (x) = csc (x)

4 cos^{2} (x) - 42 cos (x) + 2 = 0

sin (\frac{2 π}{3} - x) + sin (\frac{2 π}{3} + x) = 0

sin (θ) cos (θ) = cot (θ)

cot (θ) = - \frac{4}{3}

What is the general solution for 0.79=sin(x) ?
The general solution for 0.79=sin(x) is x=0.91080…+2pin,x=pi-0.91080…+2pin