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umka2103 [35]
3 years ago
12

Simplify the expressioncot^2x - cot^2x cos^2x

Mathematics
1 answer:
andrew-mc [135]3 years ago
8 0
Cot^2x - cot^2x cos^2x
= cot^2x - {(cot^2x)(cos^2x)}
= cot^2x { 1 - cos^2x }
= cot^2x { sin^2x }
= (cos^2x/sin^2x) { sin^2x }
= cos^2x
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What is the average rate of change of the function over the interval x = 0 to x = 8?
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