The cartesian form of the polar equation θ = 

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 Multiple Choice QuestionsMultiple Choice Questions

171.

coscos-1- 1 7 + sin-1- 17 is equal to

  • - 13

  • 0

  • 13

  • 49


172.

If sin-1x + sin-11 - x = cos-1x, then x  to

  • {1, 0}

  • {- 1, 1}

  • 0, 12

  • {2, 0}


173.

sin-145 + 2tan-113 is equal to

  • π3

  • π4

  • π2

  • 0


174.

2tanh-112 is equal to

  • 0

  • log(2)

  • log(3)

  • log(4)


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175.

The cartesian form of the polar equation θ = tan-12 is

  • x = 2y

  • y = 2x

  • x = 4y

  • y = 4x


B.

y = 2x

Given that

                 θ = tan-12       tanθ= 2We know, x = rcosθ, y = rsinθ      tanθ= yx             y = 2x


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176.

The value of x, where x > 0and tansec - 11x = sintan-12 is

  • 5

  • 53

  • 1

  • 23


177.

If sin-13x + sin-14x = π2, then x = ?

  • 3

  • 5

  • 7

  • 11


178.

cos-1- 12 - 2sin-112 +3cos-1- 12 - 4tan-1- 1 = ?

  • 19π12

  • 35π12

  • 47π12

  • 43π12


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179.

sinh-12 + sinh-13 = x  coshx =  ?

  • 1235 + 210

  • 1235 - 210

  • 1212 + 250

  • 1212 - 250


180.

In any ABC, abcosC - ccosB = ?

  • b2 + c2

  • b2 - c2

  • 1b + 1c

  • 1b2 - 1c2


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