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Q.

Match the column - I with column - II

 (column-I) Trigonometric equation Column(II)  General solution
(A)sinx+21/4cosx=0(I)P)  θ=nπ7+π14 where nZn3,10,17,....
(B)Solution of  cot2θ=cot2θtan2θ(II)nπ±π8,nz
(C)The general solution of sec2x=21tan2x(III)nπ±π4,nz
(D)Tan5θ=cot2θ Then  θ=(IV)2nπ+3π4,nz

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a

AI,BIII,CIV,DII

b

AIV,BIII,CII,DI

c

AI,BIV,CII,DIII

d

AIV,BI,CIII,DII

answer is B.

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Detailed Solution

1     21/4cosx=sinx

2sin2x+sinx2=0

2sinx1sinx+2=0

sinx=12     xθ2

x=3π4

2      1tan2θtanθ12=0

tanθ=tanπ4

θ=nπ±π4,nz

3      1+tan2x1tan2x=2

cos2x=12

cos2x=cosπ4

x=nπ±π8

4      tan5θ=tanπ22θ

5θ=nπ+π22θ

θ=nπ7+π14  n3,10,17  where Tan5θ is not defined

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