Advanced Trigonometric Identities Quiz
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Questions and Answers

Which of the following is a cofunction identity?

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

    • Which trigonometric identity can be used to simplify the expression $\sin^4(x)\cos^2(x)$?

  • Half angle formula
  • Cofunction identity
  • Double angle formula
  • Power reducing formula (correct)

    • Which of the following equations can be solved using cofunction identities?

  • $\sin(2x) = 2\sin(x)\cos(x)$
  • $\sin^2(x) + \cos^2(x) = 1$
  • $\cos(2\theta + 16^\circ) = \sin(\theta + 11^\circ)$
  • $\cot(\theta) = \tan(\theta + \frac{\pi}{6})$ (correct)

    • Which trigonometric identity can be used to determine the cofunction of a given function value?

    <p>Cofunction identity</p> Signup and view all the answers

    Which of the following is a power reducing formula?

    <p>$\sin^2(x) + \cos^2(x) = 1$</p> Signup and view all the answers

    Which star in the Alpha Centauri system is slightly more massive than the sun and about 1.5 times brighter?

    <p>Alpha Centauri A</p> Signup and view all the answers

    Which star in the Alpha Centauri system is too faint to be visible to the unaided eye?

    <p>Proxima Centauri</p> Signup and view all the answers

    What is the closest-known star to our solar system?

    <p>Proxima Centauri</p> Signup and view all the answers

    How many light-years away is the Alpha Centauri star system from us?

    <p>4.37</p> Signup and view all the answers

    What can be seen when observing Alpha Centauri through a small telescope?

    <p>A double star</p> Signup and view all the answers

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