First simplify the following expression and rewrite it in terms of sin x and cos x only: 2 /tanx+cot x . Then find in the interval x ∈ [0,π] the range of values of x for which the following inequality holds: 2 tanx+cot x < 0. Hint: The trigonometric identity for the double angle may also be helpful. [a] x ∈ ( π 2 ,π] [b] x ∈ ( π 4 ,π]  [c] x ∈ (0,π] [d] x ∈ (0, π 2 ] [e] not in the list

First simplify the following expression and rewrite it in terms of sin x and cos x only: 2 /tanx+cot x .

Then find in the interval x ∈ [0,π] the range of values of x for which the following inequality holds: 2 tanx+cot x < 0.

Hint: The trigonometric identity for the double angle may also be helpful.

[a] x ∈ ( π 2 ,π]

[b] x ∈ ( π 4 ,π] 

[c] x ∈ (0,π]

[d] x ∈ (0, π 2 ]

[e] not in the list