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Trigonometric Ratio and Identites question

2023 · 30 Jan · Shift 1 · Q30

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JEE Main
Mathematics
Trigonometric Ratio and Identites
2023 · 30 Jan · Shift 1 · Q30

Trigonometric Ratio and Identites question

2023 · 30 Jan · Shift 1 · Q30

JEE MainMathematicsTrigonometric Ratio and IdentitesMCQ+4 / −1

If

\tan 15^\circ + {1 \over {\tan 75^\circ }} + {1 \over {\tan 105^\circ }} + \tan 195^\circ = 2a

, then the value of

\left( {a + {1 \over a}} \right)

is :

A
$5 - {3 \over 2}\sqrt 3$
B
$4 - 2\sqrt 3$
C
2
D
4

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