Question
Mathematics Question on Trigonometric Equations
Let A = {θ ∈ (0,2π): 1+2i sinθ / 1- i sinθ is purely imaginary}. Then the sum of the elements in A is.
A
2π
B
3π
C
4π
D
π
Answer
4π
Explanation
Solution
The correct option is(C): 4π
Let A = {θ ∈ (0,2π): 1+2i sinθ / 1- i sinθ is purely imaginary}. Then the sum of the elements in A is.
2π
3π
4π
π
4π
The correct option is(C): 4π