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प्रश्न
Find the value of the trigonometric function cot `(-( 15pi)/4)`.
उत्तर
cot = `((−15π)/4) = "cot" ((- 15π)/4)` [∵ cot (-θ) = – cot θ]
= cot `(4π-π/4)`
= cot `(-π/4)` [∵ cot (2nπ±θ) = cot( ± θ)]
= cot `π/4` [∵ cot (-θ) = - cot θ]
= 1.
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