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Question
The value of `(tan 35^circ)/(cot 55^circ) + (cot 78^circ)/(tan 12^circ)` is ______.
Fill in the Blanks
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Solution
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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