What is the general solution for cos(x)=-5/6 ?

The general solution for cos(x)=-5/6 is x=2.55590…+2pin,x=-2.55590…+2pin

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cos(x)=-5/6

cos (x) = - \frac{5}{6}

x = 2.55590 \dots + 2 πn, x = - 2.55590 \dots + 2 πn

Degrees

x = 146.44269 \dots^{\circ} + 36 0^{\circ} n, x = - 146.44269 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = - \frac{5}{6}

Apply trig inverse properties

cos (x) = - \frac{5}{6}

General solutions for

cos (x) = - \frac{5}{6}

cos (x) = - a \Rightarrow x = arccos (- a) + 2 πn, x = - arccos (- a) + 2 πn

x = arccos (- \frac{5}{6}) + 2 πn, x = - arccos (- \frac{5}{6}) + 2 πn

x = arccos (- \frac{5}{6}) + 2 πn, x = - arccos (- \frac{5}{6}) + 2 πn

Show solutions in decimal form

x = 2.55590 \dots + 2 πn, x = - 2.55590 \dots + 2 πn

2 sin (\frac{x}{2}) - 3 = 0

2 sin^{2} (θ) = sin (θ) + 1

2 sec^{2} (x) - 4 = 0

tan (a) = 3

tan (x) + 1 = 3 + 3 cot (x)

What is the general solution for cos(x)=-5/6 ?
The general solution for cos(x)=-5/6 is x=2.55590…+2pin,x=-2.55590…+2pin