If u = xy, then ∂u/∂x =
yxy-1
u log x
u log y
xyx-1
sin-1(sin5π/6)=_____________
5π/6
2π/6
3π/6
π/6
Cos (tan-1x) =
-1/√(1 + x2)
1/√(1 + x2)
1/√(1 - x2)
-1/√(1 - x2)
π/2
-π
π
-π/2
π2
None of these
The value of cos -1 ( cos 5π/3 ) + sin -1 ( sin 5π/3 )
5π/3
10π/3
0
If tan -1 ( x + 1 ) + tan -1 ( x -1 ) = tan -1 ( 8/31 ), then x is equal to ________.
1/2
-1/2
1/4
1
[0,π]
[π/2, π]
[π/4,π]
[-π,π]
Sin-1 (cos (sin-1x )) + cos -1 (sin (cos -1 x )) is equal to ________.
π/4
3π/4
-1
