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

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

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5cos(5x)=0

5 cos (5 x) = 0

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

Solution steps

5 cos (5 x) = 0

Divide both sides by

5

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}

7 cos (x) - 7 sin (x) = 0

9 sin (x) cos (x) = 5 cos (x)

3 cos (x) sin (x) = - sin (x)

4 cos (10 x) + 2 = 2

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

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