Find the principal solution and general solution of the following:tan θ = -13

Find the principal solution and general solution of the following:
tan θ = `- 1/sqrt(3)`

Sum

The principal value of tan θ lies in `(- pi/2, pi/2)`

Since tan θ = `- 1/sqrt(3) > 0`

The principal value of tan θ lies in the IV quadrant.

tan θ = `- 1/sqrt(3)`

= `- tan pi/6`

tan θ = `tan ( - pi/6)`

θ = `- pi/6` is the principal solution.

The general solution of tan θ is

θ = `"n"pi - pi/6`, n ∈ Z

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Chapter 3: Trigonometry - Exercise 3.8 [Page 133]

Chapter 3 Trigonometry
Exercise 3.8 | Q 1. (iii) | Page 133

Find the general solution of the equation sin x + sin 3x + sin 5x = 0

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