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Cot(180° – a) is _____(a) sine of angle A(b) -cosec of angle A(c) tan of angle A(d) -cot of angle AThis question was posed to me in quiz.The doubt is from Trigonometric Ratios of Complementary Angles topic in division Trigonometry of Mathematics – Class 10

Answer»

The correct ANSWER is (b) -cosec of angle A

The best I can explain: (180° – a) refers to the SECOND quadrant which LIES in the range from 90° to 180°. Trigonometric ratios SINE and cosec are only positive in the second quadrant and remaining all the trigonometric ratios are negative.

So, Cot (180° – a) = -Cot A



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