What is the general solution for cos(x)=(-5)/(13) ?

The general solution for cos(x)=(-5)/(13) is x=1.96558…+2pin,x=-1.96558…+2pin

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cos(x)=(-5)/(13)

cos (x) = \frac{- 5}{13}

x = 1.96558 \dots + 2 πn, x = - 1.96558 \dots + 2 πn

Solution steps

cos (x) = \frac{- 5}{13}

Apply the fraction rule:

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

cos (x) = - \frac{5}{13}

Apply trig inverse properties

x = arccos (- \frac{5}{13}) + 2 πn, x = - arccos (- \frac{5}{13}) + 2 πn

Show solutions in decimal form

x = 1.96558 \dots + 2 πn, x = - 1.96558 \dots + 2 πn

1 = 3 cos (2 θ)

2 = 2 cos (θ)

4 sin (x) = 4 sin (2 x)

csc (x) - sin (x) = cos (x) cot (3 x - 50)

3 cot (θ) = - 3

What is the general solution for cos(x)=(-5)/(13) ?
The general solution for cos(x)=(-5)/(13) is x=1.96558…+2pin,x=-1.96558…+2pin