Trigonometry Formulas & Identities Quiz
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Questions and Answers

Which of the following is an example of a Pythagorean identity?

  • $\tan(x + y) = \frac{\tan(x) + \tan(y)}{1 - \tan(x)\tan(y)}$
  • $\sin^2(x) + \cos^2(x) = 1$ (correct)
  • $\sin(2x) = 2\sin(x)\cos(x)$
  • $\sin(x + y) = \sin(x)\cos(y) + \cos(x)\sin(y)$

    • Which of the following is an example of a co-function identity?

  • $\sin(\frac{\pi}{2} - x) = \cos(x)$ (correct)
  • $\tan(x + y) = \frac{\tan(x) + \tan(y)}{1 - \tan(x)\tan(y)}$
  • $\sin(x + y) = \sin(x)\cos(y) + \cos(x)\sin(y)$
  • $\sin(2x) = 2\sin(x)\cos(x)$

    • Which of the following is an example of a sum & difference identity?

  • $\tan(x + y) = \frac{\tan(x) + \tan(y)}{1 - \tan(x)\tan(y)}$
  • $\sin(2x) = 2\sin(x)\cos(x)$
  • $\sin(x + y) = \sin(x)\cos(y) + \cos(x)\sin(y)$ (correct)
  • $\sin(\frac{\pi}{2} - x) = \cos(x)$

    • Which of the following is an example of a double angle identity?

    <p>$\sin(2x) = 2\sin(x)\cos(x)$</p> Signup and view all the answers

    Which of the following is an example of a half-angle identity?

    <p>$\sin(\frac{x}{2}) = \pm \sqrt{\frac{1 - \cos(x)}{2}}$</p> Signup and view all the answers

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