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cot 75° =___________________________(a) 2+\(\sqrt{3}\)(b) 2-\(\sqrt{3}\)(c) 1+\(\sqrt{3}\)(d) \(\sqrt{3}\)-1This question was addressed to me in examination.My question is from Trigonometric Functions of Sum and Difference of Two Angles-1 topic in chapter Trigonometric Functions of Mathematics – Class 11

Answer»

Correct ANSWER is (B) 2-\(\sqrt{3}\)

For EXPLANATION: We know, COT (X +y) = (cot x cot y -1)/(cot y + cot x)

cot(45°+30°) = (cot 45° cot 30°-1)/(cot 45° + cot 30°)

cot 75° = (\(\sqrt{3}\) – 1)/(\(\sqrt{3}\) + 1) = 2-\(\sqrt{3}\).



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