What is the general solution for 5cos(θ)=-5sqrt(3)sin(-θ) ?

The general solution for 5cos(θ)=-5sqrt(3)sin(-θ) is θ= pi/6+pin

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5cos(θ)=-5sqrt(3)sin(-θ)

5 cos (θ) = - 53 sin (- θ)

θ = \frac{π}{6} + πn

Solution steps

5 cos (θ) = - 53 sin (- θ)

Rewrite using trig identities

5 cos (θ) = 53 sin (θ)

Subtract

53 sin (θ)

from both sides

5 cos (θ) - 53 sin (θ) = 0

Rewrite using trig identities

5 - 53 tan (θ) = 0

Move

5

to the right side

- 53 tan (θ) = - 5

Divide both sides by

- 53

tan (θ) = \frac{3}{3}

General solutions for

tan (θ) = \frac{3}{3}

θ = \frac{π}{6} + πn

sin (x) = - \frac{15}{17}

tan (θ) = 7

0 = sin (x^{2})

3 cos (2 θ) = 0

4 cos (2 x) + 2 sin (x) = 1, 0^{\circ} \leq x \leq 36 0^{\circ}

What is the general solution for 5cos(θ)=-5sqrt(3)sin(-θ) ?
The general solution for 5cos(θ)=-5sqrt(3)sin(-θ) is θ= pi/6+pin