The value of cot 54 ° tan 36 ° + tan 20 ° cot 70 ° =

Question

The value of $\frac{\cot 54 °}{\tan 36 °} + \frac{\tan 20 °}{\cot 70 °} =$

Smart Achievers · Accepted Answer

(2)

$\frac{\cot 54 °}{\tan 36 °} + \frac{\tan 20 °}{\cot 70 °}$

$= \frac{\cot (90 ° - 36 °)}{\tan 36 °} + \frac{\tan (90 ° - 70 °)}{\cot 70 °}$

$= \frac{\tan 36 °}{\tan 36 °} + \frac{\cot 70 °}{\cot 70 °} = 1 + 1 = 2$

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