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 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

sin^{2} (x) = 6 (cos (x) + 1)

2 cos^{2} (x) - cos (x) = 1, 0 \leq x \leq 2 π

7 sin^{2} (θ) - 36 sin (θ) + 5 = 0

cos (x) = 1 - sin^{2} (x)

tan (\frac{2 x}{3}) = 0

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