precalc study question

Question

Find all values of t in the interval [0, 2π] satisfying the given equation. (Enter your answers as a comma-separated list.)
(4 cot t)2 = 48

Answer 1

(4cot t)² = 48

 

16cot²t = 48

 

    cot²t = 3

 

    tan²t = 1/3

 

    tan t = ±√3/3

 

If tan t = √3/3, then t = π/6 or 7π/6

 

If tan t = -√3/3, then t = 5π/6 or 11π/6