हिंदी

The value of (tan 35^circ)/(cot 55^circ) + (cot 78^circ)/(tan 12^circ) is ______. - Mathematics

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प्रश्न

The value of `(tan 35^circ)/(cot 55^circ) + (cot 78^circ)/(tan 12^circ)` is ______.

रिक्त स्थान भरें
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उत्तर

The value of `(tan 35^circ)/(cot 55^circ) + (cot 78^circ)/(tan 12^circ)` is 2.

Explanation:

`(tan 35^circ)/(cot 55^circ) + (cot 78^circ)/(tan 12^circ)`

= `(tan(90^circ - 55^circ))/(cot 55^circ) + (cot(90^circ - 12^circ))/(tan 12^circ)`

= `(cot 55^circ)/(cot 55^circ) + (tan 12^circ)/(tan 12^circ)`

= 1 + 1

= 2

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