What is the general solution for cos(x)+2=1 ?

The general solution for cos(x)+2=1 is x=pi+2pin

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cos(x)+2=1

cos (x) + 2 = 1

x = π + 2 πn

Degrees

x = 18 0^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) + 2 = 1

Move

2

to the right side

cos (x) + 2 = 1

Subtract

2

from both sides

cos (x) + 2 - 2 = 1 - 2

Simplify

cos (x) = - 1

cos (x) = - 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

2 cos (2 θ) = - 1

3 cot^{2} (x) = 3 cot (x)

sin (7 x) = \frac{3}{2}

- 1.9 sin (t) = 0.4 cos (2 t)

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

What is the general solution for cos(x)+2=1 ?
The general solution for cos(x)+2=1 is x=pi+2pin