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 (2π - π) F sin(2π - x)

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 (2π - π) F sin(2π - 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)

Tardigrade Admin · Accepted Answer

By taking suitable values of x and y in the identities we get the following results cos (π-x) =- cos x ; sin (π-x)= sin x cos (π+x) =- cos x ; sin (π+x)=- sin x cos (2 π-x) = cos x ; sin (2 π-x)=- sin x Note Similar results for tan x, cot x, sec x and operatornamecosec x operatornamecan be obtained from the results of sin x and cos x.

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

Q. 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 −cosx B sin(pi−x) 2 −sinx C sin(pi+x) 3 cosx D cos(pi+x) 4 sinx E cos(2π−π) F sin(2π−x)

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

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

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

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

By taking suitable values of x and y in the identities we get the following results cos(π−x)=−cosx;sin(π−x)=sinx cos(π+x)=−cosx;sin(π+x)=−sinx cos(2π−x)=cosx;sin(2π−x)=−sinx Note Similar results for tanx,cotx,secx and cosecxcan be obtained from the results of sinx and cosx.