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If $x$ sin 60° tan 30° = sec 60° / cosec 30°, find $x$ .

Class 10Trigonometric Ratios of Standard AnglesTrigonometry

A4
B2
C1
D3

Step-by-Step Solution

LHS factor: sin60 tan

30 = (\frac{3}{2}) (\frac{1}{3}) = \frac{1}{2}

. RHS: sec60/cosec

30 = \frac{2}{2} = 1

. So

x (\frac{1}{2}) = 1

, giving

x = 2

.

Answer: B) 2

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