Question
Question: Find x satisfying [tan<sup>–1</sup> x] + [cot<sup>–1</sup> x] = 2, [·] ®greatest Integer function...
Find x satisfying [tan–1 x] + [cot–1 x] = 2,
[·] ®greatest Integer function
A
(cot 3, cot 2)
B
(cot 3, – cot 1)
C
(cot 3, 0)
D
None of these
Answer
None of these
Explanation
Solution
Graphs of y = sin–1(sin x) and |y| = cos x meet exactly six times in [–3p, 3p].
