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Evaluate cot 45° / (sec 60° + cosec 60°).
Leave the answer in terms of √(3).

Class 10Trigonometric Ratios of Standard AnglesTrigonometry

A $\frac{3}{2 + 2 3}$
B $\frac{1}{2}$
C $\frac{3}{2}$
D $2 + 23$

Step-by-Step Solution

cot45 = 1. sec60 = 2, cosec

60 = \frac{2}{3}

. Sum =

2 + \frac{2}{3} = \frac{2 3 + 2}{3}

. So

\frac{1}{( 2 3 + 2 ) / 3} = \frac{3}{2 3 + 2} = \frac{3}{2 + 2 3}

.

Answer: A)

\frac{3}{2 + 2 3}

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