What is the general solution for -8cos(θ)-4=-4 ?

The general solution for -8cos(θ)-4=-4 is θ= pi/2+2pin,θ=(3pi)/2+2pin

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-8cos(θ)-4=-4

- 8 cos (θ) - 4 = - 4

θ = \frac{π}{2} + 2 πn, θ = \frac{3 π}{2} + 2 πn

Degrees

θ = 9 0^{\circ} + 36 0^{\circ} n, θ = 27 0^{\circ} + 36 0^{\circ} n

Solution steps

- 8 cos (θ) - 4 = - 4

Add

4

to both sides

- 8 cos (θ) - 4 + 4 = - 4 + 4

Simplify

- 8 cos (θ) = 0

Divide both sides by

- 8

- 8 cos (θ) = 0

Divide both sides by

- 8

\frac{- 8 cos ( θ )}{- 8} = \frac{0}{- 8}

Simplify

cos (θ) = 0

cos (θ) = 0

General solutions for

cos (θ) = 0

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 = \frac{π}{2} + 2 πn, θ = \frac{3 π}{2} + 2 πn

θ = \frac{π}{2} + 2 πn, θ = \frac{3 π}{2} + 2 πn

2 cot (x) = 0

4 sinh (x^{3}) = 0

5 sin (x) - 1 = 3 sin (x)

- 1 + cot (x) = csc (x)

9 - 12 sin (x) = 4 cos^{2} (x)

What is the general solution for -8cos(θ)-4=-4 ?
The general solution for -8cos(θ)-4=-4 is θ= pi/2+2pin,θ=(3pi)/2+2pin