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

Divide both sides by

- 1

tan (x) = - 3

General solutions for

tan (x) = - 3

x = \frac{2 π}{3} + πn

cos (2 θ) = sin (θ), 0 \leq θ < 2 π

sin (x) (1 + cos (x)) = sin (x) + cos (x)

9 0^{2} = 6 0^{2} + 7 0^{2} - 2 (60) (70) (cos (x))

sin^{2} (x) + 3 sin (x) + 7 = 5

cos (2 x) = - 0.6, - 18 0^{\circ} \leq x \leq 18 0^{\circ}

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