If 2sinh-1a1 - a2 = log1 + x1 - x, then x is equal to
a
1a
1 - a2
11 - a2
If x =sin2tan-12 and y = sin12tan-143, then
x > y
x = y
x = 0 = y
x< y
If coshx = 54, then cosh3x = ?
6116
6316
6516
6163
In a∆ABC, if <A = 90°, then cos-1Rr2 + r3 = ?
90°
30°
60°
45°
If cotcos-1x = sectan-1ab2 - a2 : b > a, then x =
b2b2 - a2
b2 - a2ab
a2b2 - a2
b2 - a2a
A.
a We have, cotcos-1x = sectan-1ab2 - a2⇒ cotcot-1x1 - x2 = secsec-11 + ab2 - a22 ∵ cos-1x = cot-1x1 - x2and tan-1x = sec-11 + x2⇒ x1 - x2 = b2 - a2 + a2b2 - a2⇒ x1 - x2 = bb2 - a2On squaring both sides, we getx21 - x2 = b2b2 - a2⇒ x2b2 - x2a2 = b2 - b2x2⇒ x22b2 - a2 = b2⇒ x = b2b2 - a2
2π - sin-145 + sin-1513 + sin-11665 = ?
π2
π
3π2
- π2