What is the general solution for cos(x)=(-2)/2 ?

The general solution for cos(x)=(-2)/2 is x=pi+2pin

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cos(x)=(-2)/2

cos (x) = \frac{- 2}{2}

x = π + 2 πn

Solution steps

cos (x) = \frac{- 2}{2}

Simplify

\frac{- 2}{2} : - 1

\frac{- 2}{2}

Apply the fraction rule:

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

= - \frac{2}{2}

Apply rule

\frac{a}{a} = 1

= - 1

General solutions for

cos (x) = - 1

cos (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

x = π + 2 πn

x = π + 2 πn

y, - ln (cos (x)) = - 2 cos (x) \cdot sin (y)

2 sin (a) + csc (a) = 3

cos (x) = \frac{- 2}{7}

csc (x) = \frac{9}{17}

tan (Θ) = 1.4

What is the general solution for cos(x)=(-2)/2 ?
The general solution for cos(x)=(-2)/2 is x=pi+2pin