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

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

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

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

x = \frac{π}{6} + πn

Solution steps

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

Rewrite using trig identities

- 3 tan (x) + 1 = 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 sin^{2} (x) + 5 cos (x) - 4 = 0

cos (2 x) = 3 sin (x) - 1

2 sin (2 x) = - 1

2 sec (x) tan (x) - sec^{2} (x) = 0

csc^{2} (x) = cot (x) + 1

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