Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let S = 
The sum of all distinct solutions of the equation
sec x + cosec x + 2(tan x – cot x) = 0 in the set S is equal to
A
– 
B
– 
C
0
D
Text Solution
Verified by ExpertsThe correct answer is:
C
secx + cosecx + 2 (tanx – cotx) = 0 ⇒ 
sinx + cosx + 2 (sin 2 x – cos 2 x ) = 0
sinx + cosx – 2cos2x = 0 ⇒ sin 
= cos2x
cos ( π /3 – x) = cos2x ⇒ 2x = 2n π ± ( π /3 – x)
x = 
or x = 2n π – 
.
– 100 o – 60 o + 20 o +140 o = 0
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