What is the general solution for 0=cos(5θ) ?

The general solution for 0=cos(5θ) is θ= pi/(10)+(2pin)/5 ,θ=(3pi}{10}+\frac{2pin)/5

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0=cos(5θ)

0 = cos (5 θ)

θ = \frac{π}{10} + \frac{2 πn}{5}, θ = \frac{3 π}{10} + \frac{2 πn}{5}

Solution steps

0 = cos (5 θ)

Switch sides

cos (5 θ) = 0

General solutions for

cos (5 θ) = 0

5 θ = \frac{π}{2} + 2 πn, 5 θ = \frac{3 π}{2} + 2 πn

Solve

5 θ = \frac{π}{2} + 2 πn : θ = \frac{π}{10} + \frac{2 πn}{5}

Solve

5 θ = \frac{3 π}{2} + 2 πn : θ = \frac{3 π}{10} + \frac{2 πn}{5}

θ = \frac{π}{10} + \frac{2 πn}{5}, θ = \frac{3 π}{10} + \frac{2 πn}{5}

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

tan (x) = - \frac{5}{12}

cos (x) = 0.63

cos (x) = 0.58

cos (x) = 0.41

What is the general solution for 0=cos(5θ) ?
The general solution for 0=cos(5θ) is θ= pi/(10)+(2pin)/5 ,θ=(3pi}{10}+\frac{2pin)/5