# Positive/Negative - Trigo

Geometry Level 4

Suppose $$\displaystyle a\neq \cfrac { k\pi }{ 2 }$$ for any integer $$k$$ and

$$\displaystyle T=\cfrac { \sin { a } +\tan { a } }{ \cos { a } +\cot { a } }$$

Which of the following statements is true?

(A) T takes negative values only.

(B) T takes non-negative values only.

(C) T takes positive values only.

(D) T takes both positive and negative values.

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