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

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

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cos(5θ)=0

cos (5 θ) = 0

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

Solution steps

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}

sin (θ) = csc (θ)

- 5 sin (x) = 0, 0 \leq x \leq 2 π

3 sec^{2} (θ) - 4 = 0

(cot (x) + 1) (3 tan (x) + 1) = 0

0 = 2 cos (x) - 1

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