Q.

If 3sec4x+6tan4x=2, then solution set is

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a

ϕ

b

nπ

c

nπ2

d

2nπ

answer is A.

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Detailed Solution

3sec4x+6tan4x=2⇒3sec4x+6tan4x=2sec2x−tan2x2∵sec2x−tan2x=1⇒sec4x+4tan4x+4sec2xtan2x=0⇒sec2x+2tan2x2=0⇒1+2sin2x=0⇒The given equation has no solution
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