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GMAT Relations, Functions & Inverse Trigonometry — practice questions — page 2

Explore 68 free Relations, Functions & Inverse Trigonometry questions in GMAT Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Relations, Functions & Inverse Trigonometry questions and exercises with answers

Showing questions 31–60 of 68.

Assertion and reason: identitiesRead the answer and worked solution →Match each mathematician to the year your syllabus givesRead the answer and worked solution →Trace how trigonometry travelledRead the answer and worked solution →True or false: the historical noteRead the answer and worked solution →If P(A) = 0.5, P(B) = 0.6, and P(A ∩ B) = 0.2, then P(A ∪ B) is:Read the answer and worked solution →Match each identity to the condition it needsRead the answer and worked solution →Match each inverse function to its domainRead the answer and worked solution →A card is drawn from a deck of 52. Given that the card is RED, what is the probability that it's a KING?Read the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →Two dice are rolled. The probability of getting AT LEAST ONE SIX is:Read the answer and worked solution →Match each mathematician to the year your syllabus givesRead the answer and worked solution →The number of ways to choose 3 books out of 5 (order does NOT matter) is:Read the answer and worked solution →Sort each inverse function into its domainRead the answer and worked solution →Complete the summary tableRead the answer and worked solution →Bayes' theorem is essentially used to:Read the answer and worked solution →Which principal ranges sit around zero, and which run 0 to π?Read the answer and worked solution →For a discrete random variable X with values 0, 1, 2 and probabilities 0.3, 0.5, 0.2 respectively, the mean E(X) is:Read the answer and worked solution →Tap every function whose domain is [−1, 1]Read the answer and worked solution →Flip and pair: function with its principal rangeRead the answer and worked solution →Tap every function whose principal range has a point removedRead the answer and worked solution →Name the principal value branchRead the answer and worked solution →Put the reasoning in order: why an inverse needs a restricted domainRead the answer and worked solution →True or false: existence of inversesRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Assertion and reasonRead the answer and worked solution →Principal values worked in the chapterRead the answer and worked solution →Order the steps for finding a principal valueRead the answer and worked solution →Three of these are wrong. Find the one that holds.Read the answer and worked solution →For a binomial distribution B(n, p), the MEAN and VARIANCE are:Read the answer and worked solution →True or false: reading the tableRead the answer and worked solution →

Worked practice questions

Assertion and reason: identities

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Questions
  1. Reason
    It holds only where x lies in [−π/2, π/2], the principal branch.
    Verdict
    Both are true; the reason explains the assertion.
    Assertion
    sin⁻¹ (sin x) = x cannot be claimed for every real x.
  2. Reason
    [−1, 1] is exactly the domain of sin⁻¹.
    Verdict
    Both are true; the reason explains the assertion.
    Assertion
    sin (sin⁻¹ x) = x holds for every x in [−1, 1].
  3. Reason
    An inverse function swaps the roles of input and output.
    Verdict
    Both are true; the reason explains the assertion.
    Assertion
    If y = sin⁻¹ x then x = sin y.
Each pair turns on whether the stated interval is the right one. Source: syllabus Maths Part I, Ch 2 Inverse Trigonometric Functions.

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Match each mathematician to the year your syllabus gives

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Matching pairs
  1. Left
    Aryabhata
    Right
    476 A.D.
  2. Left
    Brahmagupta
    Right
    598 A.D.
  3. Left
    Bhaskara I
    Right
    600 A.D.
From the Historical Note closing the chapter. Source: syllabus Maths Part I, Ch 2 Inverse Trigonometric Functions.

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Trace how trigonometry travelled

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Steps
  1. The study of trigonometry begins in India
  2. Indian results pass to Arabia
  3. From Arabia the knowledge reaches Europe
  4. The Indian approach is adopted worldwide
syllabus records that the study of trigonometry began in India, passed to Arabia, and reached Europe from there. Source: syllabus Maths Part I, Ch 2 Inverse Trigonometric Functions.

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