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This question belongs to Arithmetic Ability Trigonometry
Trigonometry
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Which of the following is equal to secA - cosA?

Answer & Solution
Correct Answer: Option A
$$\eqalign{ & \sec A - \cos A \cr & = \frac{1}{{\cos A}} - \cos A \cr & = \frac{{1 - {{\cos }^2}A}}{{\cos A}} \cr & = \frac{{{{\sin }^2}A}}{{\cos A}} \cr & = \tan A.\sin A \cr} $$
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