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Evaluate: Tan 65 ∘ Cot 25 ∘ - Mathematics

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Sum

Evaluate:

`(tan 65^circ)/(cot 25^circ)`

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Solution

`(tan 65^circ)/(cot 25^circ)`

= `tan(90^circ - 25^circ)/cot 25^circ`  (∵ `tan(90^circ - theta) = cot theta)`

= `cot 25^circ/cot 25^circ`

= 1

Concept: Trigonometric Identities
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