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

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

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