Question
Question: If a = sin<sup>–1</sup> (cos (sin<sup>–1</sup>x)) and b = cos<sup>–1</sup> (sin (cos<sup>–1</sup> x)...
If a = sin–1 (cos (sin–1x)) and b = cos–1 (sin (cos–1 x)), then-
A
tana = cot b
B
tan a = – cot b
C
tana = tan b
D
tan a = – tan b
Answer
tana = cot b
Explanation
Solution
sin a = cos (sin–1 x) = cos 
= sin (cos–1 x)
\ cos b = sin (cos–1 x)
Ž sin a = cos b
Ž tan a = cot b