What is the general solution for sin(x)= 9/14 ?

The general solution for sin(x)= 9/14 is x=0.69822…+2pin,x=pi-0.69822…+2pin

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sin(x)= 9/14

sin (x) = \frac{9}{14}

x = 0.69822 \dots + 2 πn, x = π - 0.69822 \dots + 2 πn

Solution steps

sin (x) = \frac{9}{14}

Apply trig inverse properties

x = arcsin (\frac{9}{14}) + 2 πn, x = π - arcsin (\frac{9}{14}) + 2 πn

Show solutions in decimal form

x = 0.69822 \dots + 2 πn, x = π - 0.69822 \dots + 2 πn

4 tan^{2} (x) + 5 tan (x) - 6 = 0

sin (x) = \frac{1}{2}, 0 \leq x < 2 π

cos (t) + cos (2 t) = - 1

sin (θ) = \frac{3}{4}

3 cos (t) = 0

What is the general solution for sin(x)= 9/14 ?
The general solution for sin(x)= 9/14 is x=0.69822…+2pin,x=pi-0.69822…+2pin