Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Find the period of the function f(x) = sin x + tan 
+
sin 
+ tan 
+ ……+ sin 
+ tan 
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
Sol. f(x) = 
= 
where f r (x) = sin 
+ tan 
Since each of sin 
and tan 
are periodic functions with period 2 r π . Therefore, f r (x)
is periodic with period 2 r π .
But f(x) = 
, therefore f(x) is periodic with period
T = L.C.M. of (2 π , 2 r π , …….,2 n π )
⇒ T = 2 n π
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