Question

The value of `(cot 54^circ)/(tan 36^circ) + (tan 20^circ)/(cot 70^circ)` is ______.

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Answer 1

The value of `(cot 54^circ)/(tan 36^circ) + (tan 20^circ)/(cot 70^circ)` is 2.

Explanation:

`(cot 54^circ)/(tan 36^circ) + (tan 20^circ)/(cot 70^circ) = (cot(90^circ - 36^circ))/(tan 36^circ) + (tan 20^circ)/(cot(90^circ - 20^circ))`

= `(tan 36^circ)/(tan 36^circ) + (tan 20^circ)/(tan 20^circ)`

= 1 + 1

= 2