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Inverse Trigonometric functions

QuizΒ by Athira Rajan

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25 questions
Show answers
  • Q1

    The Principal Value of π‘ π‘–π‘›βˆ’1(π‘π‘œπ‘  (33πœ‹/5)) is

    3πœ‹/5

    7πœ‹/5

    πœ‹/10

    -πœ‹/10

    120s
  • Q2

    Which one of the following is correct?

    tan 1 > π‘‘π‘Žπ‘›βˆ’1 1

    tan 1 < π‘‘π‘Žπ‘›βˆ’1 1

    tan 1 = π‘‘π‘Žπ‘›βˆ’1 1

    None of these

    120s
  • Q3

    If π‘π‘œπ‘ βˆ’1π‘₯ >𝑠𝑖𝑛 βˆ’1π‘₯,π‘‘β„Žπ‘’π‘›

    π‘₯ < 0

    βˆ’ 1< x < 0

    0≀ π‘₯< 1/√2

    -1≀π‘₯< 1/√2

    120s
  • Q4

    If ΞΈ= tπ‘Žπ‘›βˆ’1 a,βˆ…= π‘‘π‘Žπ‘›βˆ’1 𝑏 and ab = -1 then (ΞΈβˆ’ βˆ…) is equal to

    0

    πœ‹/4

    πœ‹/2

    none of these

    120s
  • Q5

    If π‘π‘œπ‘ βˆ’1Β (3/5 )βˆ’π‘ π‘–π‘›βˆ’1(Β 4/5) = π‘π‘œπ‘ βˆ’1 π‘₯,then π‘₯ is equal to

    0

    1

    -1

    None of these

    120s
  • Q6

    The domain of the function defined by f(x) = π‘ π‘–π‘›βˆ’1√π‘₯βˆ’1 𝑖𝑠

    [1 ,2]

    [-1 ,1]

    [0 ,1]

    None of these

    120s
  • Q7

    The domain of the function π‘π‘œπ‘ βˆ’1( 2x-1) is

    [0 ,1]

    [-1 ,1]

    [-1 ,0]

    None of these

    120s
  • Q8

    If 3 π‘‘π‘Žπ‘›βˆ’1 π‘₯+ π‘π‘œπ‘‘βˆ’1 π‘₯ = πœ‹ then x is equal to

    0

    1

    -1

    None of these

    120s
  • Q9

    The value of sin [(πœ‹/2)βˆ’ 𝑠𝑖𝑛 βˆ’1 (βˆ’βˆš3/2)] is

    √3/2

    -√3/2

    1/2

    -1/2

    120s
  • Q10

    The value of tan {π‘π‘œπ‘ βˆ’1(βˆ’2/7 ) - πœ‹/2 } is

    2/3√5

    2/3

    1/√5

    4/√5

    120s
  • Q11

    The value of the expression 2 π‘ π‘’π‘βˆ’1 2+π‘ π‘–π‘›βˆ’1(1/2) 𝑖𝑠

    πœ‹/6

    5πœ‹/6

    7πœ‹/6

    1

    120s
  • Q12

    If π‘‘π‘Žπ‘›βˆ’1π‘₯+π‘‘π‘Žπ‘›βˆ’1 𝑦=4πœ‹/5, then π‘π‘œπ‘‘βˆ’1π‘₯+π‘π‘œπ‘‘βˆ’1𝑦 𝑖𝑠 π‘’π‘žπ‘’π‘Žπ‘™ π‘‘π‘œ

    πœ‹/5

    2πœ‹/5

    3πœ‹/5

    πœ‹

    120s
  • Q13

    The value of cot[π‘π‘œπ‘ βˆ’1(7/25) ] 𝑖𝑠

    25/24

    25/7

    24/25

    7/24

    120s
  • Q14

    The value of π‘‘π‘Žπ‘›βˆ’1(π‘‘π‘Žπ‘›(5πœ‹/6))+π‘π‘œπ‘ βˆ’1(π‘π‘œπ‘ (13πœ‹/6)) 𝑖𝑠

    0

    2

    1

    -1

    120s
  • Q15

    The simplified form of cos[π‘π‘œπ‘ βˆ’1(βˆ’βˆš3/2)+ (πœ‹/6) ] is

    -1

    0

    1

    2

    120s

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