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

Divide both sides by

- 1

tan (x) = 3

General solutions for

tan (x) = 3

x = \frac{π}{3} + πn

tan (b) = \frac{5}{12}

sin (θ) = \frac{35}{37}

sin^{2} (θ) = \frac{2 + 3}{4}

8 sin (c) + 3 = 3 sin (c) + 3

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

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