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Question
Evaluate: `(cot54°)/(tan36°) + (tan20°)/(cot70°)-2`
Sum
Solution
`(cot54°)/(tan36°) + (tan20°)/(cot70°)-2`
= `cot(90° - 36°)/(tan 36°)+ tan(90° - 70°)/(cot 70°) - 2`
= `(tan 36°)/(tan 36°) + (cot 70°)/(cot 70°)-2`
= 1 + 1 - 2
= 2 - 2
= 0
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Complimentary Angles for Tangent ( Tan ) and Contangency ( Cot )
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