Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The sum of all values of θ∈ 
satisfying sin 2 2 θ + cos 4 2 θ = 
is
A
π
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
B
sin 2 2 θ + cos 4 2 θ = 
⇒ 1 – cos 2 2 θ + cos 4 2 θ = 
Let cos 2 2 θ = t ⇒ t 2 – t + 
= 0 ⇒ 
= 0
⇒ t = 
⇒ cos 2 2 θ = 
⇒ 2cos 2 2 θ – 1 = 0 ⇒ cos4 θ = 0 ⇒ 4 θ = (2n+1) 
⇒ θ = (2n + 1) 
⇒ θ = 
, 
∈ 
sum of values of θ is 
──────────────────────────────────────────────────────────────────────────────────────────
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
Let cos( α + β ) = and let sin( α – β ) = , where 0 ≤ α , β ≤ .Then tan 2 α =
The expression can be written as :
Let f k (x) = (sin k x + cos k x) where x ∈ R and k ≥ 1. Then f 4 (x) – f 6 (x) equals
A man is walking towards a vertical pillar in a straight path, at a uniform speed. At a certain poi…
If 0 ≤ x < 2 π , then the number of real values of x, which satisfy the equation
cosx + cos2x + cos…
If sum of all the solutions of the equation 8 cosx. = 1 in [0, π ] is k π , then k is equal to :