What is the general solution for sin(x)= 7/12 ?

The general solution for sin(x)= 7/12 is x=0.62282…+2pin,x=pi-0.62282…+2pin

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sin(x)= 7/12

sin (x) = \frac{7}{12}

x = 0.62282 \dots + 2 πn, x = π - 0.62282 \dots + 2 πn

Solution steps

sin (x) = \frac{7}{12}

Apply trig inverse properties

x = arcsin (\frac{7}{12}) + 2 πn, x = π - arcsin (\frac{7}{12}) + 2 πn

Show solutions in decimal form

x = 0.62282 \dots + 2 πn, x = π - 0.62282 \dots + 2 πn

sin (x) = \frac{7}{13}

3 sin (x) - sin (x) - 3 = 0

cos (x) + 2 cos (x + 24 0^{\circ}) = 1

tan (x) + 2 sin (x) = 0

cos (x π) = 0

What is the general solution for sin(x)= 7/12 ?
The general solution for sin(x)= 7/12 is x=0.62282…+2pin,x=pi-0.62282…+2pin