What is the general solution for 2a*cos(θ)=0 ?

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

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2a*cos(θ)=0

2 a \cdot cos (θ) = 0

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

2 a cos (θ) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 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

\frac{sin ^{3} ( x )}{cos ^{3} ( x ) - cos ( x )} = tan (x)

4 sin (t) - 3 cos (t) = 0

2 - 3 sin (θ) = cos (θ)

5 sin (3 x) = 4

sec (θ) = \frac{1}{cos ( 67.3 8 ^{\circ} )}

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