Question
Question: If tan<sup>–1</sup> x + tan<sup>–1</sup> y + tan<sup>–1</sup> z = p then x + y + z =...
If tan–1 x + tan–1 y + tan–1 z = p then x + y + z =
A
xyz
B
0
C
1
D
2xyz
Answer
xyz
Explanation
Solution
sin–1 sin 22 = 7p –22 ; cos–1 cos 33 = 33 – 10p
tan–1 tan 44 = 44 –14p
Hence 7p – 22 + 33 – 10p + 44 –14p = 55 –17p