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

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

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

\leq 3 \cdot cos (x) - sin (x) = 0

x = \frac{π}{3} + πn

Solution steps

\leq 3 cos (x) - 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

tan^{2} (x) + sec^{2} (x) = 3

4 sin^{2} (x) - 6 cos^{2} (x) = 0

sin (6 0^{\circ} - a) = 0.598

sin (a) = 0.143

sin (x) = cos^{2} (x) + 1

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