Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The number of solutions of
cos (2sin –1 (cot (tan –1 (sec (6cosec –1 x))))) + 1 = 0
where x > 0 is
Text Solution
Verified by ExpertsThe correct answer is:
3
(3)
cos (2sin –1 (cot (tan –1 (sec(6cosec –1 x))))) = – 1
sin –1 (cot (tan –1 (sec (6cosec –1 x)))) = ± 
cot (tan –1 (sec (6 cosec –1 x))) = ± 1
tan –1 (sec(6 cosec –1 x)) = ± 
sec (6 cosec –1 x) = ± 1
6 cosec –1 x = ± 3 π , ± 2 π , ± π
cosec –1 x = ± 
, ± 
, ± 
⇒ x = 1, 
, 2 ( x > 0)
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