What is the general solution for cos(x)+2=3 ?

The general solution for cos(x)+2=3 is x=2pin

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cos(x)+2=3

cos (x) + 2 = 3

x = 2 πn

Degrees

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

Solution steps

cos (x) + 2 = 3

Move

2

to the right side

cos (x) + 2 = 3

Subtract

2

from both sides

cos (x) + 2 - 2 = 3 - 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 = 0 + 2 πn

x = 0 + 2 πn

Solve

x = 0 + 2 πn : x = 2 πn

x = 0 + 2 πn

0 + 2 πn = 2 πn

x = 2 πn

x = 2 πn

9 sin (b) + 3 = 5 sin (b) + 1

4 tan (x) + 2 sin (x) cos (x) = 0

cos (x) = 2 cos^{2} (x) - 1

3 sin (x) + 6 cos (x) = 4

3 tan (2 x + 1) = 2

What is the general solution for cos(x)+2=3 ?
The general solution for cos(x)+2=3 is x=2pin