Published by:
CGP EDU Academic Team
Published on: August 14, 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
Sol. 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 
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