Question

Match the terms of Column I with the terms of Column II and select the correct options which is suitable for given codes.

Column I		Column II
A	$\cos(pi-x)$	1	$-\cos x $
B	$\sin(pi-x)$	2	$ -\sin x$
C	$ \sin(pi+x) $	3	$ \cos x$
D	$\cos(pi+x)$	4	$\sin x$
E	$\cos (2\pi - \pi)$
F	$\sin(2\pi - x)$

• A. A - (1), B -(4), C - (2), D - (1), E - (3), F - (2)
• B. A - (1), B -(2), C - (4), D - (1), E - (3), F - (1)
• C. A - (2), B -(4), C - (1), D - (2), E - (3), F - (2)
• D. A - (1), B -(2), C - (2), D - (4), E - (3), F -(1)

Answer 1

Answer: (A)

By taking suitable values of $x$ and $y$ in the identities we get the following results
$\cos (\pi-x) =-\cos x ; \sin (\pi-x)=\sin x$
$\cos (\pi+x) =-\cos x ; \sin (\pi+x)=-\sin x $
$\cos (2 \pi-x) =\cos x ; \sin (2 \pi-x)=-\sin x$
Note Similar results for $\tan x, \cot x, \sec x$ and $\operatorname{cosec} x \operatorname{can}$ be obtained from the results of $\sin x$ and $\cos x$.