Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let 
. Then, the sum of roots of all the equations x 2 - 2 (tan 2 
+ cot 2 
) x + 6 sin 2 
= 0 
, is________.
Text Solution
Verified by ExpertsThe correct answer is:
16
(16)
7cos 2 
- 3sin 2 
- 2cos 2 2 
= 2
4 cos 2 
+ 3cos2 
- 2cos 2 2 
= 2
2 (1 + cos 2 
) + 3cos 2 
-2 cos 2 2 
= 2
2 cos 2 2 
- 5 cos2 
= 0
cos2 
(2cos2 
- 5) = 0
cos2 
= 0
For all four values of 
x 2 - 2 (tan 2 
+ cot 2 
) x + 6 sin 2 
= 0
x 2 - 4x + 3 = 0
Sum of roots of all four equations = 4x4=16.
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