Trigonometry Identities Quiz
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Questions and Answers

What is the value of (cosec (\theta) - cot (\theta))^2 in terms of (sin (\theta) and (cos (\theta))?

  • 1 + cos \(\theta)
  • 1 + sin \(\theta)
  • 1 - sin \(\theta)
  • 1 - cos \(\theta) (correct)

    • What is the value of tan (A) + cot (A) in terms of sin (A) and cos (A)?

  • sin \(A) + cos \(A)
  • sec \(A) + cosec \(A) (correct)
  • sin \(A) - cos \(A)
  • sec \(A) - cosec \(A)

    • What is the value of cos (A) in terms of sec (A)?

  • 1 + sec \(A)
  • 1 - sec \(A)
  • sec \(A) / (sec \(A) - 1)
  • 1 / sec \(A) (correct)

    • What is the value of (sin (A) + cosec (A))^2 + (cos (A) + sec (A))^2?

    <p>7 + tan^2 (A) + cot^2 (A)</p> Signup and view all the answers

    What is the value of (cosec (A) - sin (A))(sec (A) - cos (A))?

    <p>tan (A) + cot (A)</p> Signup and view all the answers

    What is the value of 1 + sec (A) in terms of sin (A)?

    <p>2 / (1 + sin (A))</p> Signup and view all the answers

    What is the value of cos (\theta) in terms of sin (\theta)?

    <p>$\sqrt{1 - sin^2 (\theta)}$</p> Signup and view all the answers

    What is the value of (sin (\theta) - 2 sin^3 (\theta)) / (2 cos^3 (\theta) - cos (\theta))?

    <p>tan (\theta)</p> Signup and view all the answers

    What is the value of tan (A) in terms of sin (A) and cos (A)?

    <p>sin (A) / cos (A)</p> Signup and view all the answers

    What is the value of (1 + tan^2 (A)) / (1 - tan^2 (A))?

    <p>sec^2 (A)</p> Signup and view all the answers

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