What is the general solution for sin(x)= 12/13 ?

The general solution for sin(x)= 12/13 is x=1.17600…+2pin,x=pi-1.17600…+2pin

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sin(x)= 12/13

sin (x) = \frac{12}{13}

x = 1.17600 \dots + 2 πn, x = π - 1.17600 \dots + 2 πn

Degrees

x = 67.38013 \dots^{\circ} + 36 0^{\circ} n, x = 112.61986 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{12}{13}

Apply trig inverse properties

sin (x) = \frac{12}{13}

General solutions for

sin (x) = \frac{12}{13}

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

x = arcsin (\frac{12}{13}) + 2 πn, x = π - arcsin (\frac{12}{13}) + 2 πn

x = arcsin (\frac{12}{13}) + 2 πn, x = π - arcsin (\frac{12}{13}) + 2 πn

Show solutions in decimal form

x = 1.17600 \dots + 2 πn, x = π - 1.17600 \dots + 2 πn

cos (θ) = \frac{3}{5}

sin (x) = - 2

sin (\frac{x}{2}) + cos (x) - 1 = 0

3 sin (x) sec (x) = 2 sin (x)

y, x = sin (y)

What is the general solution for sin(x)= 12/13 ?
The general solution for sin(x)= 12/13 is x=1.17600…+2pin,x=pi-1.17600…+2pin