(B) We know that $\cot \theta = \tan(90^{\circ} - \theta)$.Using this identity:$\cot 54^{\circ} = \tan(90^{\circ} - 54^{\circ}) = \tan 36^{\circ}$.$\c

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(B) We know that $\cot \theta = \tan(90^{\circ} - \theta)$.Using this identity:$\cot 54^{\circ} = \tan(90^{\circ} - 54^{\circ}) = \tan 36^{\circ}$.$\cot 70^{\circ} = \tan(90^{\circ} - 70^{\circ}) = \tan 20^{\circ}$.Substituting these values into the expression:$\frac{\tan 36^{\circ}}{\tan 36^{\circ}} + \frac{\tan 20^{\circ}}{\tan 20^{\circ}} = 1 + 1 = 2$.

Class 11 Mathematics Trigonometric Functions Fundamental trigonometrical ratios and functions, Trigonometrical ratio of allied angles

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The value of $\frac{\cot 54^{\circ}}{\tan 36^{\circ}} + \frac{\tan 20^{\circ}}{\cot 70^{\circ}}$ is

WBJEE 2010 All WBJEE

A
$0$
B
$2$
C
$3$
D
$1$

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Fundamental trigonometrical ratios and functions, Trigonometrical ratio of allied angles

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