What is the general solution for sin(x)= 13/14 ?

The general solution for sin(x)= 13/14 is x=1.19054…+2pin,x=pi-1.19054…+2pin

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sin(x)= 13/14

sin (x) = \frac{13}{14}

x = 1.19054 \dots + 2 πn, x = π - 1.19054 \dots + 2 πn

Degrees

x = 68.21321 \dots^{\circ} + 36 0^{\circ} n, x = 111.78678 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{13}{14}

Apply trig inverse properties

sin (x) = \frac{13}{14}

General solutions for

sin (x) = \frac{13}{14}

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

x = arcsin (\frac{13}{14}) + 2 πn, x = π - arcsin (\frac{13}{14}) + 2 πn

x = arcsin (\frac{13}{14}) + 2 πn, x = π - arcsin (\frac{13}{14}) + 2 πn

Show solutions in decimal form

x = 1.19054 \dots + 2 πn, x = π - 1.19054 \dots + 2 πn

sin (x - \frac{π}{2}) + sin (\frac{π}{2}) = sin (x + \frac{π}{2})

sec^{2} (x) = 2 + sec (x)

cos (y) = 0.8192

x, 1.56 sin (2 x) = 2 \cdot sin (x) cos (x)

\frac{7}{sin ( 7 0 ^{\circ} )} = \frac{5}{sin ( b )}

What is the general solution for sin(x)= 13/14 ?
The general solution for sin(x)= 13/14 is x=1.19054…+2pin,x=pi-1.19054…+2pin