What is the general solution for 0=cos(θ) ?

The general solution for 0=cos(θ) is θ= pi/2+2pin,θ=(3pi)/2+2pin

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0=cos(θ)

0 = cos (θ)

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

0 = cos (θ)

Switch sides

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

sec^{2} (x) + 3 tan (x) = 5

2 sin (θ) + 1 = csc (θ)

cot (x) - 1 = csc (x)

- 6 cos^{2} (θ) - 3 cos (θ) + 1 = - 4 cos (θ)

tan (θ) = 1.2

What is the general solution for 0=cos(θ) ?
The general solution for 0=cos(θ) is θ= pi/2+2pin,θ=(3pi)/2+2pin