Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If x, y and z are three angles such that
x = 2 cot –1 ( 
+ 1), y = 3 cos –1 
+ tan –1 
& z = cos –1 
, then
A
x> y
B
y > z
C
x < z
D
x + y = 
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(b, c)
x = 2 tan –1 ( 
–1) = 
y = 
– 
= 
⇒ y > x
Also 
< 
⇒ cos –1 
> cos –1 
⇒ cos –1 
> 
⇒ z > 
z > x Also y > z (y belongs to 2 nd quadrant and z belongs to 1 st quadrant)
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