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Agniveer Air Force Matrices and Determinants — practice questions

Explore 41 free Matrices and Determinants questions in Agniveer Air Force 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 1–30 of 41.

tan(45°) equals:Read the answer and worked solution →SAT · Mathematics · Trig Ratios (SOHCAHTOA)Read the answer and worked solution →SAT · Mathematics · Trig Identities — T/FRead the answer and worked solution →Match the trig identity to its resultRead the answer and worked solution →Complete the Identity: Trigonometry (ISC 12)Read the answer and worked solution →Match the trig valueRead the answer and worked solution →Fill the gaps in the triangle area ruleRead the answer and worked solution →Complete the arc length relationRead the answer and worked solution →Match each identity to its nameRead the answer and worked solution →The Pythagorean identitiesRead the answer and worked solution →Odd function or even function?Read the answer and worked solution →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 →Positive or negative angleRead the answer and worked solution →Which ratios are positiveRead the answer and worked solution →Type the trig functionRead the answer and worked solution →

Worked practice questions

tan(45°) equals:

  1. ∞
  2. 0
  3. 1
  4. √3
Show answer and solution

Correct answer: C. 1

We have tan(45°) = sin(45°)/cos(45°). That is tan(45°) = (1/√2)/(1/√2). So tan(45°) = 1.

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SAT · Mathematics · Trig Ratios (SOHCAHTOA)

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Matching pairs
  1. Left
    sin θ
    Right
    opposite / hypotenuse
  2. Left
    cos θ
    Right
    adjacent / hypotenuse
  3. Left
    tan θ
    Right
    opposite / adjacent
  4. Left
    sin 30°
    Right
    1/2
  5. Left
    cos 60°
    Right
    1/2
  6. Left
    tan 45°
    Right
    1
Instructions
Match each trig ratio to its definition or value.

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SAT · Mathematics · Trig Identities — T/F

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Questions
  1. Statement is true
    Yes
    Statement
    sin²θ + cos²θ = 1.
  2. Statement is true
    Yes
    Statement
    tan θ = sin θ / cos θ.
  3. Statement is true
    No
    Statement
    sin(2θ) = 2 sin θ.
  4. Statement is true
    Yes
    Statement
    sin(2θ) = 2 sin θ cos θ.
  5. Statement is true
    No
    Statement
    cos(0) = 0.
  6. Statement is true
    Yes
    Statement
    tan(90°) is undefined.
Instructions
Decide each trig statement.

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