What is the general solution for sin(x)=(10.7)/(71.5) ?

The general solution for sin(x)=(10.7)/(71.5) is x=0.15021…+2pin,x=pi-0.15021…+2pin

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sin(x)=(10.7)/(71.5)

sin (x) = \frac{10.7}{71.5}

x = 0.15021 \dots + 2 πn, x = π - 0.15021 \dots + 2 πn

Solution steps

sin (x) = \frac{10.7}{71.5}

Apply trig inverse properties

x = arcsin (\frac{10.7}{71.5}) + 2 πn, x = π - arcsin (\frac{10.7}{71.5}) + 2 πn

Show solutions in decimal form

x = 0.15021 \dots + 2 πn, x = π - 0.15021 \dots + 2 πn

cos (y) = 1

sec (x) = - 3

1.5 = \frac{sin ( 4 5 ^{\circ} )}{sin ( x )}

sin (4 x) + sin (6 x) = 0

9 - 10 cos (2 x) = 0

What is the general solution for sin(x)=(10.7)/(71.5) ?
The general solution for sin(x)=(10.7)/(71.5) is x=0.15021…+2pin,x=pi-0.15021…+2pin