What is the general solution for cos(x)=-1/4 ?

The general solution for cos(x)=-1/4 is x=1.82347…+2pin,x=-1.82347…+2pin

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cos(x)=-1/4

cos (x) = - \frac{1}{4}

x = 1.82347 \dots + 2 πn, x = - 1.82347 \dots + 2 πn

Degrees

x = 104.47751 \dots^{\circ} + 36 0^{\circ} n, x = - 104.47751 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = - \frac{1}{4}

Apply trig inverse properties

cos (x) = - \frac{1}{4}

General solutions for

cos (x) = - \frac{1}{4}

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

x = arccos (- \frac{1}{4}) + 2 πn, x = - arccos (- \frac{1}{4}) + 2 πn

x = arccos (- \frac{1}{4}) + 2 πn, x = - arccos (- \frac{1}{4}) + 2 πn

Show solutions in decimal form

x = 1.82347 \dots + 2 πn, x = - 1.82347 \dots + 2 πn

sin (\frac{x}{3}) = \frac{1}{2}

2 cos^{2} (t) + cos (t) = 1

9 tan^{3} (x) = 3 tan (x)

cos (3 x) = 0.5, 0 < x < π

2 sin (3 x) = 1

What is the general solution for cos(x)=-1/4 ?
The general solution for cos(x)=-1/4 is x=1.82347…+2pin,x=-1.82347…+2pin