Home › CBSE Class 11 › mathematics › Trigonometric Functions — Radian/Degree, Arc Length, Unit Circle, Quadrant Signs, Domain/Range › If cot x = -5/12 and x lies in the SECOND quadra…
If cot x = -5/12 and x lies in the SECOND quadrant, then sin x equals:
A-5/13
B12/13
C5/13
D-12/13
Answer & Solution
Correct answer: B. 12/13
cot x = cos x / sin x = -5/12. Using 1 + cot²x = cosec²x: cosec²x = 1 + 25/144 = 169/144 → cosec x = ±13/12. In Quadrant II, sin x > 0 so cosec x > 0 → cosec x = 13/12 → sin x = 12/13.
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