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Q.

Match the following.

Column – I Column – I I
A)If  sinθ=3sin(θ+2α), then the value of  tan(θ+α)+2tanα isP)0
B)If  psinθ+qcosθ=a  and   pcosθqsinθ=b then  p+aq+b+qbpa+1  is equal toQ)1
C)The value of the expression  cosπ7cos2π7cos10π7sinπ14sin3π14sin5π14  isR)12
D)For  α=2π13,cosαcos5α+cos2αcos3α+cos4αcos6α=S)14
  T)12

 

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a

A-R, B-Q, C-P, D-S

b

A-R, B-S, C-Q, D-P

c

A-P, B-R, C-S, D-Q

d

A-P, B-Q, C-S, D-S

answer is D.

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Match the following.Column – I Column – I IA)If  sinθ=3sin(θ+2α), then the value of  tan(θ+α)+2tanα isP)0B)If  psinθ+qcosθ=a  and   pcosθ−qsinθ=b then  p+aq+b+q−bp−a+1  is equal toQ)1C)The value of the expression  cosπ7cos2π7cos10π7−sinπ14sin3π14sin5π14  isR)12D)For  α=2π13,cosαcos5α+cos2αcos3α+cos4αcos6α=S)−14  T)−12