Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Let P = { θ : sin θ – cos θ = 
cos θ } and Q = { θ : sin θ + cos θ = 
sin θ } be two sets. Then
A
P ⊂ Q and Q – P ≠ 
B
Q 
P
P
C
P 
Q
Q
D
P = Q
Text Solution
Verified by ExpertsThe correct answer is:
D
P = { θ : sin θ – cos θ = 
cos θ }
sin θ = ( 
+ 1) cos θ ⇒ tan θ = 
+ 1 ⇒θ = n π + 
; n ∈ I
Q = { θ : sin θ + cos θ = 
sin θ }
∴ cos θ = ( 
– 1) sin θ ⇒ tan θ = 
= 
+ 1 ⇒θ = n π + 
; n ∈ I
∴ P = Q
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