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

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

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cos(5x)=0

cos (5 x) = 0

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

Solution steps

cos (5 x) = 0

General solutions for

cos (5 x) = 0

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

Solve

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

Solve

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

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

tan (2 x) + tan (x) = 0

cos^{2} (x) - \frac{1}{2} = 0

tan (θ) = \frac{3}{5}

32 cos (θ) + 2 = - 1

sin (x) cos (x) = \frac{3}{4}

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