What is the general solution for sin(x)= 6/13 ?

The general solution for sin(x)= 6/13 is x=0.47972…+2pin,x=pi-0.47972…+2pin

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sin(x)= 6/13

sin (x) = \frac{6}{13}

x = 0.47972 \dots + 2 πn, x = π - 0.47972 \dots + 2 πn

Degrees

x = 27.48642 \dots^{\circ} + 36 0^{\circ} n, x = 152.51357 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{6}{13}

Apply trig inverse properties

sin (x) = \frac{6}{13}

General solutions for

sin (x) = \frac{6}{13}

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

x = arcsin (\frac{6}{13}) + 2 πn, x = π - arcsin (\frac{6}{13}) + 2 πn

x = arcsin (\frac{6}{13}) + 2 πn, x = π - arcsin (\frac{6}{13}) + 2 πn

Show solutions in decimal form

x = 0.47972 \dots + 2 πn, x = π - 0.47972 \dots + 2 πn

cos (x) = - \frac{8}{17}

sin (x) = \frac{6.1}{9.9}

sech (x) = 0

sin^{2} (x) - cos^{2} (x) = 0, (0, 2 π)

tan (α) = - 0.9857

What is the general solution for sin(x)= 6/13 ?
The general solution for sin(x)= 6/13 is x=0.47972…+2pin,x=pi-0.47972…+2pin