Trigonometry - Quant/Math -

Question 4 the day: October 31, 2002
The question for the day is from the topic of Trigonometry.

What is the value of cot 15o + cot 75o + cot 135o - cosec 30o?
(1) 3 (2) Infinity (3) 1 (4) None of these
Correct Answer - (3)


Solution:

cot 15 + cot (90 - 15) + cot (90 + 45) - cosec 30 = cot 15 + tan 15 - tan 45 - cosec 30
= - 1 - 2 = 4 - 1 - 2 = 1.

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