What is the general solution for cos(θ)+4=3 ?

The general solution for cos(θ)+4=3 is θ=pi+2pin

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cos(θ)+4=3

cos (θ) + 4 = 3

θ = π + 2 πn

Degrees

θ = 18 0^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) + 4 = 3

Move

4

to the right side

cos (θ) + 4 = 3

Subtract

4

from both sides

cos (θ) + 4 - 4 = 3 - 4

Simplify

cos (θ) = - 1

cos (θ) = - 1

General solutions for

cos (θ) = - 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}

θ = π + 2 πn

θ = π + 2 πn

cos^{2} (x) - cos (x) - 1 = 0, 0 \leq x \leq 2 π

2 cos (x) = csc (x)

cos (θ) = 0.3

sin^{5} (x) = 4 sin (x)

tan (x) = 2 + 3

What is the general solution for cos(θ)+4=3 ?
The general solution for cos(θ)+4=3 is θ=pi+2pin