Match the following.
Column – I Column – I I
A) If $\sin θ = 3 \sin (θ + 2 α),$ then the value of $\tan (θ + α) + 2 \tan α$ is P) 0
B) If $p \sin θ + q \cos θ = a$ and $p \cos θ - q \sin θ = b$ then $\frac{p + a}{q + b} + \frac{q - b}{p - a} + 1$ is equal to Q) 1
C) The value of the expression $\cos \frac{π}{7} \cos \frac{2 π}{7} \cos \frac{10 π}{7} - \sin \frac{π}{14} \sin \frac{3 π}{14} \sin \frac{5 π}{14}$ is R) $\frac{1}{2}$
D) $F o r α = \frac{2 π}{13}, \cos α \cos 5 α + \cos 2 α \cos 3 α + \cos 4 α \cos 6 α =$ S) $- \frac{1}{4}$
T) $- \frac{1}{2}$

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

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

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

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

answer is D.

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Column – I		Column – I I
A)	If $\sin θ = 3 \sin (θ + 2 α),$ then the value of $\tan (θ + α) + 2 \tan α$ is	P)	0
B)	If $p \sin θ + q \cos θ = a$ and $p \cos θ - q \sin θ = b$ then $\frac{p + a}{q + b} + \frac{q - b}{p - a} + 1$ is equal to	Q)	1
C)	The value of the expression $\cos \frac{π}{7} \cos \frac{2 π}{7} \cos \frac{10 π}{7} - \sin \frac{π}{14} \sin \frac{3 π}{14} \sin \frac{5 π}{14}$ is	R)	$\frac{1}{2}$
D)	$F o r α = \frac{2 π}{13}, \cos α \cos 5 α + \cos 2 α \cos 3 α + \cos 4 α \cos 6 α =$	S)	$- \frac{1}{4}$
		T)	$- \frac{1}{2}$