Published by:
CGP EDU Academic Team
Published on: August 12, 2026
The value of sin (2 tan –1 (1/3)) + cos (tan –1 2 
) is-
Text Solution
Verified by ExpertsThe correct answer is:
C
Let tan –1 1/3 = α and tan –1 2 
= β .
Then tan α =1/3 and tan β = 2 
, so that
sin (2 tan –1 (1/3)) + cos (tan –1 2 
)
= sin 2 α + cos β
= 
+ 
[ – π /2 < β < π /2]
= 
+ 
= 
.
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