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What is the value of cot (– 870º)? |
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Answer» cot (– 870°) = – cot 870° (∵ cot (– θ) = – cot θ) = – cot (720° + 150°) = – cot (2 x 360° + 150°) = – cot 150° = – cot (90° + 60°) (∵ cot (n .360° + θ) = cot θ, n ∈ N) = – (– tan 60°) (∵cot (90° + θ) = – tan θ) = tan 60° = √3 . |
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