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

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

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

sin (x) = - 3 cos (x)

x = \frac{2 π}{3} + πn

Solution steps

sin (x) = - 3 cos (x)

Rewrite using trig identities

tan (x) = - 3

General solutions for

tan (x) = - 3

x = \frac{2 π}{3} + πn

4 sin^{2} (x) + 2 cos^{2} (x) = 3, 0 \leq x \leq 2 π

sin (x) = - 5

sin (x) = 10

tan (A) = - \frac{3}{91}

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

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