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

What is the value of cot 15^o + cot 75^o + cot 135^o - cosec 30^o?

(1)

3

(2)

Infinity

(3)

1

(4)

None of these

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.