Would 4cosec²x - 4cot²x be 4 or 1
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Would 4cosec²x - 4cot²x be 4 or 1

[From: ] [author: ] [Date: 11-08-05] [Hit: ]
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4cosec²x - 4cot²x =4(cosec²x - cot²x)

since cosec²x - cot²x =1 always

4cosec²x - 4cot²x=4(1)=4 always

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answer is 4.

4cosec^2x-4cot^x = 4/sin^2x - 4 cos^2x/sin^2x = 4(1-cos^2x)/sin^2x

therefore

4(sin^2x)/sin^2x = 4

Hope that helps
1
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