Published by:
CGP EDU Academic Team
Published on: August 12, 2026
If 
= 
and 
= 
, 0 < A, B < π /2, then tan A + tan B is equal to
A
B
C
1
D
Text Solution
Verified by ExpertsThe correct answer is:
D
= 
, 
= 
, 0 < A, B < π /2 ⇒ tanA = 
tan A = 
tan B ..... (1)
⇒ 
from (1)
⇒ 4 + 4 tan 2 B = 5 + 5 tan 2 A
⇒ –1 + 4 tan 2 B = 5 × 
tan 2 B ⇒ tan B = ±1
⇒ tan B = +1( 0 < B < 
)
Now tanA + tanB = 
+ 1 = 
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