What is the general solution for sin(x)= 7/11 ?

The general solution for sin(x)= 7/11 is x=0.68977…+2pin,x=pi-0.68977…+2pin

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sin(x)= 7/11

sin (x) = \frac{7}{11}

x = 0.68977 \dots + 2 πn, x = π - 0.68977 \dots + 2 πn

Degrees

x = 39.52119 \dots^{\circ} + 36 0^{\circ} n, x = 140.47880 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{7}{11}

Apply trig inverse properties

sin (x) = \frac{7}{11}

General solutions for

sin (x) = \frac{7}{11}

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

x = arcsin (\frac{7}{11}) + 2 πn, x = π - arcsin (\frac{7}{11}) + 2 πn

x = arcsin (\frac{7}{11}) + 2 πn, x = π - arcsin (\frac{7}{11}) + 2 πn

Show solutions in decimal form

x = 0.68977 \dots + 2 πn, x = π - 0.68977 \dots + 2 πn

2 sec^{2} (x) = 3 tan (x) + 1

2 sec (t) = tan^{2} (t) + 1

2 sin (x) - 2 cos (x) = 3

8 cos (2 x) = 43

cos^{2} (θ) - sin^{2} (θ) = 1

What is the general solution for sin(x)= 7/11 ?
The general solution for sin(x)= 7/11 is x=0.68977…+2pin,x=pi-0.68977…+2pin