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 = 247.38013 \dots^{\circ} + 36 0^{\circ} n

Solution steps

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

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

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

8 cos (x) = 3 csc (x)

2 sin (x) cos (x) - 2 sin (x) + cos (x) = 1

8 cos (4 x) = 0

cos (3 x) + sin (5 x) = 0

sin^{2} (o) + 3 sin (o) - 4 = 0

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