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

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

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

cos (x) = 3 sin (x)

x = \frac{π}{6} + πn

Solution steps

cos (x) = 3 sin (x)

Rewrite using trig identities

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 sin (x) = cot (x)

12 cos^{2} (θ) = 3

0 = tan (x)

sin (x) tan (x) - 4 tan (x) = 0

sec (\frac{θ}{5}) = 7

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