In a triangle ABC, the sides b and c are the roots of the equation x2 - 61x + 820 = 0 and A = tan-143, then a2 is equal to
1098
1096
1097
1095
If sin-1x + sin-1y = π2, then cos-1x + cos-1y is equal to :
π2
π4
π
3π4
If tan-1mn - tan-1m - nm + n is equal to
tan-1nm
tan-1m + nm - n
tan-112
If sec-11 + x2 + csc-11 + y2y + cot-11z = π, then x + y + z is equal to
xyz
2xyz
xyz2
x2yz
If tan-1x2 + cot-1x2 = 5π28, then x is equal to
0
2
1
- 1
5cos-11 - x21 + x2 + 7sin-12x1 + x2 - 4tan-12x1 + x2 - tan-1x = 5π, then x is equal to
3
- 3
If cos-1513 - sin-11213 = cos-1x, then x is equal to
12
32
A.
Given, cos-1513 - sin-11213 = cos-1x∴ sin-11213 - sin-11213 = cos-1x⇒ cos-1x = 0 ⇒ x = cos0⇒ x = 1
The value of costan-1sincot-1x is
x2 + 1x2 - 1
1 - x2x2 + 2
1 - x21 + x2
x2 + 1x2 + 2
If - π2 < sin-1x < π2, then tansin-1x is equal to
x1 - x2
x1 + x2
11 - x2
If y = tan-1x + sec-1x + cot-1x + csc-1x, then dydx is equal to
x2 - 1x2 + 1