Important Questions of Inverse Trigonometric Functions Mathematics | Zigya

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51.

If tan3tan-115, - π4 is equal to

  • - 1346

  • - 1146

  • - 746

  • - 946


52.

If tan-1- x + cos-1- 12 = π2, then the value of x is

  • 3

  • - 13

  • 13

  • - 3


53.

If ab > - 1, bc > - 1 and ca > - 1, then cot-1ab + 1a - b + cot-1bc + 1b - c + cot-1ca + 1c - a is

  • - 1

  • cot-1a +b +c

  • cot-1abc

  • 0


54.

The value of sin-1223 + sin-113 is equal to

  • π6

  • π4

  • π2

  • 2π3


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55.

If ab < 1 and cos-11 - a21 + a2 + cos-11 - b21 + b2 = 2tan-1x, then x is equal to

  • a1 + ab

  • a1 - ab

  • a +b1 + ab

  • a +b1 - ab


56.

cos-1cos7π5 is equal to

  • 3π5

  • 2π5

  • - 7π5

  • 7π5


57.

The value of sec2tan-13 + csccot-12 is equal to

  • 5

  • 13

  • 15

  • 23


58.

2tan-113 + tan-114 is equal to

  • tan-11613

  • tan-11723

  • π4

  • 0


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59.

If cos-1x + cos-1y = 2π7, then the value of sin-1x + sin-1y is

  • 4π7

  • 3π7

  • 2π7

  • 5π7


60.

If cos-1x > sin-1x, then x lies in the interval

  • (12, 1]

  • (0, 1]

  • [- 1, 12)

  • [- 1, 1]


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