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PUCET (Punjab) Binomial Theorem — practice questions — page 5

Explore 136 free Binomial Theorem questions in PUCET (Punjab) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Binomial Theorem questions and exercises with answers

Showing questions 121–136 of 136.

Complete the degree and radian conversionRead the answer and worked solution →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

Complete the degree and radian conversion

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Missing parts
  1. Answer
    180
    Choices
    1. 180
    2. 360
    3. 90
  2. Answer
    180
    Choices
    1. 180
    2. 360
    3. 90
Complete the statement
Radian measure equals (π ÷ {0}) times the degree measure. Degree measure equals ({1} ÷ π) times the radian measure.
Both directions, as the summary gives them. Source: syllabus Maths, Ch 3 Trigonometric Functions.

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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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