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Cot(180° – a) is _____

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in Mathematics - Class 10 by (506k points)
Cot(180° – a) is _____

(a) sine of angle A

(b) -cosec of angle A

(c) tan of angle A

(d) -cot of angle A

This question was posed to me in quiz.

The doubt is from Trigonometric Ratios of Complementary Angles topic in division Trigonometry of Mathematics – Class 10

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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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