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Trignometry

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4 Apr 2008 21:06:06 IST

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The ratio of the greates value of 2-cos(x) +sin^2(x) to its least value is:

None

The answer to the question is 13/4. Can u pls give a full solution?

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sreeraman nagasubramaniyan

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4 Apr 2008 21:23:49 IST

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Differentiate the given expression we get
sinx(2cosx+1) = 0
sinx=0 or cosx=-1/2
Thus least value is
2+0-1 = 1
Thus max value is 2+3/4+1/2 = 13/4
Thus ratio of max to min is 13/4

Abram Benny

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4 Apr 2008 21:33:10 IST

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Thanx. That ans clears it.

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