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

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

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

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

x = \frac{π}{3} + πn

Solution steps

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

Rewrite using trig identities

tan (x) - 3 = 0

Move

3

to the right side

tan (x) = 3

General solutions for

tan (x) = 3

x = \frac{π}{3} + πn

cot (θ) = - 3

4 sin^{2} (x) - 2 = 0

sin (θ) = sin (2 θ)

tan (2 x) - 2 cos (x) = 0

5 sin^{2} (θ) = 2 sin (θ)

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