Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Consider tan θ + sin φ = 
& tan² θ + cos² φ = 
, find maximum value of 
if θ + φ ∈ (0, 2 π ).
Text Solution
Verified by ExpertsThe correct answer is:
17
(17)
tan θ + sin φ = 
...(1)
As tan 2 θ + cos 2 φ = 
⇒ 
+ cos 2 φ = 
⇒ 
+ sin 2 φ – 3 sin φ + cos 2 φ = 
⇒ 
= 3 sin φ ⇒ sin φ = 
⇒ φ = n π + (–1)n 
from (1) ((1) , tan θ = 
– sin φ = 
= 1 ⇒ θ = n π + 
.
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