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Question
Without using trigonometric tables, prove that:
tan266° − cot224° = 0
Solution
LHS = tan266° − cot224°
= tan2 (`90^circ - 24^circ`) - cot2`24^circ`
= cot2 `24^circ` - cot2 `24^circ`
= 0
= RHS
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