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Question
Without using tables evaluate: `(2tan 53°)/(cot 37°) - (cot 80°)/(tan 10°)`.
Sum
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Solution
`(2tan 53°)/(cot 37°) - (cot 80°)/(tan 10°)`
= `((2tan 53°)/(cot (90° - 53°)) - ((cot 80°)/(tan (90 - 80°)))`
= `((2tan 53°)/(tan 53°)) - ((cot 80°)/(cot 80°))`
= 2 - 1
= 1
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