Published by:
CGP EDU Academic Team
Published on: August 12, 2026
If cos 4 x + sin 4 x – sin 2 x + 
sin 2 2x = y-
A
y = 1 if x = 
B
y ≠ 0 for any value of x
C
y = 0 if x = 15 π
D
y = 1 if sin 2x = 0
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a,b,d)
y = sin 4 x + cos 4 x – sin 2x + 
sin 2 2x
= (sin 2 x + cos 2 x) 2 – 2 sin 2 x cos 2 x – sin 2x + 
sin 2 2x
= 1 – 
sin 2 2x – sin 2x + 
sin 2 2x
= 1 + 
sin 2 2 x – sin 2x
= 
(sin 2 2x – 4 sin 2x + 4) ⇒ 
(sin 2x – 2) 2
sin 2x ≠ 2, y ≠ 0 for any value of and y = 1 if
sin 2x = 0
y = 1 if x = 
for any integer n
, , are correct.
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