What is the general solution for sin(x)= 5/(8.8) ?

The general solution for sin(x)= 5/(8.8) is x=0.60429…+2pin,x=pi-0.60429…+2pin

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sin(x)= 5/(8.8)

sin (x) = \frac{5}{8.8}

x = 0.60429 \dots + 2 πn, x = π - 0.60429 \dots + 2 πn

Solution steps

sin (x) = \frac{5}{8.8}

Apply trig inverse properties

x = arcsin (\frac{5}{8.8}) + 2 πn, x = π - arcsin (\frac{5}{8.8}) + 2 πn

Show solutions in decimal form

x = 0.60429 \dots + 2 πn, x = π - 0.60429 \dots + 2 πn

cos^{2} (x) - sin^{2} (x) = - 1

2 cos (2 x) = 2

4 cos^{2} (x) + 4 cos (x) + 1 = 0

sec (x) = \frac{1}{sin ( x )}

sin (x) sec (x) = 2 sin (x)

What is the general solution for sin(x)= 5/(8.8) ?
The general solution for sin(x)= 5/(8.8) is x=0.60429…+2pin,x=pi-0.60429…+2pin