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Question
The value of `(cot 54^circ)/(tan 36^circ) + (tan 20^circ)/(cot 70^circ)` is ______.
Options
0
2
3
1
MCQ
Fill in the Blanks
Solution
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
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Trigonometric Functions of Allied Angels
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