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Bipin Dubey (13679)

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2tan2x - 5secx -1 = 0

2(sec2x - 1) - 5secx - 1 = 0

2sec2x - 5secx - 3 = 0

secx = -1/2,3

Since secx<= -1  or  secx>= 1

Hence secx = 3  ( i.e in the 1st and 4th quadrant )

Hence it has 6 solutions in (0.6)
and one value in (6,6 + /2)  i.e  (6,13/2)

Hence it has 7 solutions in (0,13/2)

Hence n = 13


Bipin Kumar Dubey Chemical Dept. IIT Kharagpur
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