Question

Let S = {θ ∈ (0, 2π): 7 cos² θ - 3 sin²θ - 2 cos² 2θ = 2}. Then, the sum of roots of all the equations x² - 2 (tan²θ + cot²θ) x + 6 sin²θ = 0 θ ∈ S, is____.

Answer 1

Correct answer is 16

Sum of roots of all four equations = 4 x 4 = 16.