What is the general solution for 2/2*sqrt(3)*cos(x)-2/2*sin(x)=0 ?

The general solution for 2/2*sqrt(3)*cos(x)-2/2*sin(x)=0 is x= pi/3+pin

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2/2sqrt(3)cos(x)-2/2*sin(x)=0

\frac{2}{2} \cdot 3 \cdot cos (x) - \frac{2}{2} \cdot sin (x) = 0

x = \frac{π}{3} + πn

Solution steps

\frac{2}{2} 3 cos (x) - \frac{2}{2} sin (x) = 0

Rewrite using trig identities

3 - tan (x) = 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

a, sin (a) = 0.5

\frac{3}{2 cos ( θ )} = 3 - 3 cos (θ)

cos (θ) = 1.25

cos (x) = - cos^{2} (x)

4 \cdot sin^{2} (x) - 1 = 0

What is the general solution for 2/2*sqrt(3)*cos(x)-2/2*sin(x)=0 ?
The general solution for 2/2*sqrt(3)*cos(x)-2/2*sin(x)=0 is x= pi/3+pin