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Indian Navy MR Matrices and Determinants — practice questions — page 2

Explore 45 free Matrices and Determinants questions in Indian Navy MR Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Matrices and Determinants questions and exercises with answers

Showing questions 31–45 of 45.

True or false: identities and parityRead the answer and worked solution →Match each sum or difference formula to its resultRead the answer and worked solution →Signs in the expansionRead the answer and worked solution →Which formula does this belong to?Read the answer and worked solution →True or false: periodicityRead the answer and worked solution →Complete the complementary angle rulesRead the answer and worked solution →Assertion and reasonRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Three of these are wrong. Find the one that holds.Read the answer and worked solution →Order the steps: convert degrees to radiansRead the answer and worked solution →Flip and pair: identity with its valueRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →Tap every correct identityRead the answer and worked solution →Radians and degreesRead the answer and worked solution →True or false: reading the identitiesRead the answer and worked solution →

Worked practice questions

True or false: identities and parity

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Questions
  1. Statement is true
    Yes
    Statement
    cos²x + sin²x = 1 for every x.
  2. Statement is true
    Yes
    Statement
    sin(−x) = −sin x.
  3. Statement is true
    No
    Statement
    cos(−x) = −cos x.
  4. Statement is true
    Yes
    Statement
    1 + tan²x = sec²x.
  5. Statement is true
    No
    Statement
    1 + tan²x = cosec²x.
Each line is one summary bullet, stated straight or bent. Source: syllabus Maths, Ch 3 Trigonometric Functions.

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Match each sum or difference formula to its result

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Matching pairs
  1. Left
    cos(x + y)
    Right
    cos x cos y − sin x sin y
  2. Left
    cos(x − y)
    Right
    cos x cos y + sin x sin y
  3. Left
    sin(x + y)
    Right
    sin x cos y + cos x sin y
  4. Left
    sin(x − y)
    Right
    sin x cos y − cos x sin y
The four sum and difference formulae. Source: syllabus Maths, Ch 3 Trigonometric Functions.

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Signs in the expansion

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Questions
  1. Question
    cos(x + y) expands with which sign in the middle?
    Choices
    1. plus
    2. no sign
    3. minus
    Correct choice
    minus
  2. Question
    sin(x + y) expands with which sign?
    Choices
    1. plus
    2. minus
    3. no sign
    Correct choice
    plus
  3. Question
    cos(x − y) expands with which sign?
    Choices
    1. minus
    2. plus
    3. no sign
    Correct choice
    plus
  4. Question
    sin(x − y) expands with which sign?
    Choices
    1. plus
    2. no sign
    3. minus
    Correct choice
    minus
The sign flips between the cosine and sine expansions, which is the usual slip. Source: syllabus Maths, Ch 3 Trigonometric Functions.

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