What is the general solution for cos(x)=(-11)/(12) ?

The general solution for cos(x)=(-11)/(12) is x=2.73045…+2pin,x=-2.73045…+2pin

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cos(x)=(-11)/(12)

cos (x) = \frac{- 11}{12}

x = 2.73045 \dots + 2 πn, x = - 2.73045 \dots + 2 πn

Degrees

x = 156.44353 \dots^{\circ} + 36 0^{\circ} n, x = - 156.44353 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{- 11}{12}

Apply the fraction rule:

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

cos (x) = - \frac{11}{12}

Apply trig inverse properties

cos (x) = - \frac{11}{12}

General solutions for

cos (x) = - \frac{11}{12}

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

x = arccos (- \frac{11}{12}) + 2 πn, x = - arccos (- \frac{11}{12}) + 2 πn

x = arccos (- \frac{11}{12}) + 2 πn, x = - arccos (- \frac{11}{12}) + 2 πn

Show solutions in decimal form

x = 2.73045 \dots + 2 πn, x = - 2.73045 \dots + 2 πn

6 sin^{2} (x) + 5 cos (x) - 2 = 0

\frac{sin ^{22} ( a )}{sin ^{2} ( a )} = 4 - 4 sin^{2} (a)

tan^{3} (x) = 2

sin^{3} (x) = 3 sin (x)

cos^{4} (x) + 2 sin^{2} (x) + 6 cos^{2} (x) + 5 = 0

What is the general solution for cos(x)=(-11)/(12) ?
The general solution for cos(x)=(-11)/(12) is x=2.73045…+2pin,x=-2.73045…+2pin