What is the general solution for cos(sqrt(3)x)+sin(sqrt(3)x)=0 ?

The general solution for cos(sqrt(3)x)+sin(sqrt(3)x)=0 is x=(sqrt(3)pi)/4+(pin)/(sqrt(3))

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cos(sqrt(3)x)+sin(sqrt(3)x)=0

cos (3 x) + sin (3 x) = 0

x = \frac{3 π}{4} + \frac{πn}{3}

Solution steps

cos (3 x) + sin (3 x) = 0

Rewrite using trig identities

1 + tan (3 x) = 0

Move

1

to the right side

tan (3 x) = - 1

General solutions for

tan (3 x) = - 1

3 x = \frac{3 π}{4} + πn

Solve

3 x = \frac{3 π}{4} + πn : x = \frac{3 π}{4} + \frac{πn}{3}

x = \frac{3 π}{4} + \frac{πn}{3}

\frac{1}{3} = tan (x)

sin (θ) = - \frac{5}{5}

0.9 = cos (x)

cos (x) = \frac{8}{9}

5 - 6 cos (θ) = 33 + 5 - 3 cos (θ)

What is the general solution for cos(sqrt(3)x)+sin(sqrt(3)x)=0 ?
The general solution for cos(sqrt(3)x)+sin(sqrt(3)x)=0 is x=(sqrt(3)pi)/4+(pin)/(sqrt(3))