jee-main 2021 Q66

jee-main · India · session3_25jul_shift2 Addition & Double Angle Formulae Simplification of Trigonometric Expressions with Specific Angles
The value of $\cot \frac { \pi } { 24 }$ is:
(1) $\sqrt { 2 } + \sqrt { 3 } + 2 - \sqrt { 6 }$
(2) $\sqrt { 2 } + \sqrt { 3 } + 2 + \sqrt { 6 }$
(3) $\sqrt { 2 } - \sqrt { 3 } - 2 + \sqrt { 6 }$
(4) $3 \sqrt { 2 } - \sqrt { 3 } - \sqrt { 6 }$ 
The value of $\cot \frac { \pi } { 24 }$ is:\\
(1) $\sqrt { 2 } + \sqrt { 3 } + 2 - \sqrt { 6 }$\\
(2) $\sqrt { 2 } + \sqrt { 3 } + 2 + \sqrt { 6 }$\\
(3) $\sqrt { 2 } - \sqrt { 3 } - 2 + \sqrt { 6 }$\\
(4) $3 \sqrt { 2 } - \sqrt { 3 } - \sqrt { 6 }$
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