What is the general solution for sin(x)= 3/7 ?

The general solution for sin(x)= 3/7 is x=0.44291…+2pin,x=pi-0.44291…+2pin

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sin(x)= 3/7

sin (x) = \frac{3}{7}

x = 0.44291 \dots + 2 πn, x = π - 0.44291 \dots + 2 πn

Solution steps

sin (x) = \frac{3}{7}

Apply trig inverse properties

x = arcsin (\frac{3}{7}) + 2 πn, x = π - arcsin (\frac{3}{7}) + 2 πn

Show solutions in decimal form

x = 0.44291 \dots + 2 πn, x = π - 0.44291 \dots + 2 πn

2 sin (θ) + 6 = - 3 + 6

sin (\frac{x}{2} - \frac{π}{3}) = \frac{1}{2}, 0 \leq x \leq 2 π

4 cot (x) + 1 = 0

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

cosh (x) = 4

What is the general solution for sin(x)= 3/7 ?
The general solution for sin(x)= 3/7 is x=0.44291…+2pin,x=pi-0.44291…+2pin