Question
Question: Which of the following is negative...
Which of the following is negative
A
cos (tan–1 (tan 4))
B
sin (cot–1 (cot 4))
C
tan (cos–1 (cos 5))
D
cot (sin–1 (sin 4))
Answer
cot (sin–1 (sin 4))
Explanation
Solution
(1) cos (tan–1 (tan4)) = cos (tan–1 tan (4 – p))
= cos (4 – p) = – cos 4 > 0
(2) sin (cot–1 (cot 4)) = sin (cot–1 (cot 4 – p))
sin (4 – p) = – sin 4 > 0
(3) tan (cos–1 (cos 5)) = tan (cos–1 cos(2p – 5)
= tan (2p – 5) = – tan 5 > 0
(4) cot (sin–1 (sin 4)) = cot (sin sin–1 (p – 4))
= cot (p – 4) = – cot 4 < 0