If x =sin2tan-12 and y = sin12tan-1

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 Multiple Choice QuestionsMultiple Choice Questions

191.

If 2sinh-1a1 - a2 = log1 + x1 - x, then x is equal to

  • a

  • 1a

  • 1 - a2

  • 11 - a2


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192.

If x =sin2tan-12 and y = sin12tan-143, then

  • x > y

  • x = y

  • x = 0 = y

  • x< y


A.

x > y

Given, x =sin2tan-12 and y = sin12tan-143 x = sin2tan-12Let tan-12 = θ  tanθ = 2 x = sin2θ = 2tanθ1 + tan2θ = 221 + 22 = 45Now, y = sin12tan-143Let tan-143 = ϕtanϕ = 43, cosϕ = 35Then, y = sinϕ2= 1 - cosϕ 2 = 1 - 352 = 15 x > y


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193.

If coshx = 54, then cosh3x = ?

  • 6116

  • 6316

  • 6516

  • 6163


194.

In aABC, if <A = 90°, then cos-1Rr2 +r3 = ?

  • 90°

  • 30°

  • 60°

  • 45°


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195.

If cotcos-1x = sectan-1ab2 - a2 : b > a, then x = 

  • b2b2 - a2

  • b2 - a2ab

  • a2b2 - a2

  • b2 - a2a


196.

2π - sin-145 + sin-1513 + sin-11665 = ?

  • π2

  • π

  • 3π2

  •  - π2


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