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Trigonometry

Trigonometry Quiz

14 Questions Published
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Questions

Question 1 Multiple Choice (Single Answer)

What is the value of (sin 30^\circ)?

  1. \(1/2\)
  2. \(\sqrt{3}/2\)
  3. \(1\)
  4. \(0\)
Question 2 Multiple Choice (Single Answer)

What is the value of (cos 60^\circ)?

  1. \(1/2\)
  2. \(\sqrt{3}/2\)
  3. \(0\)
  4. \(-1\)
Question 3 Multiple Choice (Single Answer)

What is the value of (tan 45^\circ)?

  1. \(1\)
  2. \(\sqrt{2}\)
  3. \(\sqrt{3}\)
  4. \(2\)
Question 4 Multiple Choice (Single Answer)

What is the Pythagorean identity?

  1. \(a^2 + b^2 = c^2\)
  2. \(a^2 - b^2 = c^2\)
  3. \(a^2 + b^2 = 2c^2\)
  4. \(a^2 - b^2 = 2c^2\)
Question 5 Multiple Choice (Single Answer)

What is the sine rule?

  1. \(\frac{sin A}{a} = \frac{sin B}{b} = \frac{sin C}{c}\)
  2. \(\frac{sin A}{a} = \frac{cos B}{b} = \frac{tan C}{c}\)
  3. \(\frac{cos A}{a} = \frac{sin B}{b} = \frac{tan C}{c}\)
  4. \(\frac{cos A}{a} = \frac{cos B}{b} = \frac{sin C}{c}\)
Question 6 Multiple Choice (Single Answer)

What is the cosine rule?

  1. \(c^2 = a^2 + b^2 - 2ab cos C\)
  2. \(c^2 = a^2 + b^2 + 2ab cos C\)
  3. \(c^2 = a^2 - b^2 + 2ab cos C\)
  4. \(c^2 = a^2 - b^2 - 2ab cos C\)
Question 7 Multiple Choice (Single Answer)

What is the double angle formula for sine?

  1. \(sin 2A = 2 sin A cos A\)
  2. \(sin 2A = sin A + sin A\)
  3. \(sin 2A = cos A + cos A\)
  4. \(sin 2A = 2 cos A sin A\)
Question 8 Multiple Choice (Single Answer)

What is the double angle formula for cosine?

  1. \(cos 2A = cos^2 A - sin^2 A\)
  2. \(cos 2A = cos A + cos A\)
  3. \(cos 2A = sin A + sin A\)
  4. \(cos 2A = 2 cos A sin A\)
Question 9 Multiple Choice (Single Answer)

What is the double angle formula for tangent?

  1. \(tan 2A = \frac{2 tan A}{1 - tan^2 A}\)
  2. \(tan 2A = tan A + tan A\)
  3. \(tan 2A = cos A + cos A\)
  4. \(tan 2A = 2 tan A sin A\)
Question 10 Multiple Choice (Single Answer)

What is the half angle formula for sine?

  1. \(sin \frac{A}{2} = \pm \sqrt{\frac{1 - cos A}{2}}\)
  2. \(sin \frac{A}{2} = sin A + sin A\)
  3. \(sin \frac{A}{2} = cos A + cos A\)
  4. \(sin \frac{A}{2} = 2 sin A cos A\)
Question 11 Multiple Choice (Single Answer)

What is the half angle formula for cosine?

  1. \(cos \frac{A}{2} = \pm \sqrt{\frac{1 + cos A}{2}}\)
  2. \(cos \frac{A}{2} = cos A + cos A\)
  3. \(cos \frac{A}{2} = sin A + sin A\)
  4. \(cos \frac{A}{2} = 2 cos A sin A\)
Question 12 Multiple Choice (Single Answer)

What is the half angle formula for tangent?

  1. \(tan \frac{A}{2} = \pm \sqrt{\frac{1 - cos A}{1 + cos A}}\)
  2. \(tan \frac{A}{2} = tan A + tan A\)
  3. \(tan \frac{A}{2} = cos A + cos A\)
  4. \(tan \frac{A}{2} = 2 tan A sin A\)
Question 13 Multiple Choice (Single Answer)

What is the area of a triangle with sides (a), (b), and (c)?

  1. \(\frac{1}{2}ab sin C\)
  2. \(ab sin C\)
  3. \(\frac{1}{2}abc\)
  4. \(abc\)
Question 14 Multiple Choice (Single Answer)

What is the volume of a pyramid with base area (B) and height (h)?

  1. \(\frac{1}{3}Bh\)
  2. \(Bh\)
  3. \(\frac{1}{2}Bh\)
  4. \(2Bh\)
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