Q.

The maximum value of the function  f(x)=sinx1−cos2x+cosx1−sin2x+tanxsec2x−1+cotxcosec2x−1when ever it is defined as

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a

4.00

b

1

c

2

d

3

answer is A.

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Detailed Solution

f(x)=sinx|sinx|+cosx|cosx|+tanx|tanx|+cotx|cotx|4x∈1st quadrant−2x∈2nd quadrant0x∈3rd quadrant−2x∈4th quadrant⇒maximum =4
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