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

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

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13*sin(x)=12

13 \cdot sin (x) = 12

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

13 sin (x) = 12

Divide both sides by

13

13 sin (x) = 12

Divide both sides by

13

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

Simplify

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

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

11 sin (θ) = 11 cos (θ)

1 - 2 tan (x) = 0

sin (a) = 0.747

1 - tan^{2} (y) = 2 sec (y) - 4

2 sin^{2} (2 θ) + 5 sin (2 θ) = 3

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