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

The general solution for cos(x)-sqrt(3)sin(x)=0 is x= pi/6+pin

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

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

x = \frac{π}{6} + πn

Solution steps

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

Rewrite using trig identities

1 - 3 tan (x) = 0

Move

1

to the right side

- 3 tan (x) = - 1

Divide both sides by

- 3

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

General solutions for

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

x = \frac{π}{6} + πn

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

2 sin^{2} (x) = 0

tan (x) = sin (x)

csc (x) = sec (x)

sec (x) = 3

What is the general solution for cos(x)-sqrt(3)sin(x)=0 ?
The general solution for cos(x)-sqrt(3)sin(x)=0 is x= pi/6+pin