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 the fraction rule:

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

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

tan (θ) = \frac{7}{2}

2 \cdot sin (2 x + 1 5^{\circ}) = 1

cos (2 x) + 3 cos (x) + 2 = 0, \frac{π}{2} \leq x \leq π

2 cos (a) = 3

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

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