Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If A = sin 2 x + cos 4 x, then for all real x :
A
B
C
1 ≤ A ≤ 2
D
Text Solution
Verified by ExpertsThe correct answer is:
A
A = sin 2 x + cos 4 x
= sin 2 x + (1 – sin 2 x) 2
= sin 4 x – sin 2 x + 1
= 
+ 
= 
≤ A ≤ 1
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
If log p x = α and log q x = β , then the value of log p/q x is
If log x a, a x/2 and log b x are in G.P. Then x is equal to
If log x 256 = 8/5, then x is equal to
If log 2, log(2 x – 1) and log (2 x + 3) are in A.P., then x is equal to
The roots of the equation log 2 (x 2 – 4x + 5) = (x – 2) are
If x = 198 !, then value of the expression equals