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

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

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3cos(x)=3

3 cos (x) = 3

x = 2 πn

Degrees

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

Solution steps

3 cos (x) = 3

Divide both sides by

3

3 cos (x) = 3

Divide both sides by

3

\frac{3 cos ( x )}{3} = \frac{3}{3}

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

a, cos (a + b) = \frac{3}{2}

sin (30 x) = - 0.6

4 cos (θ) + 1 = 2 cos (θ)

csc (x) - sin (x) = cot (x) csc (x)

4 - 4 sin (θ) = 4 cos (θ)

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