kimberlychang2003
kimberlychang2003 21h ago • 10 views

Test Questions on Defining Sine, Cosine, Tangent with SOH CAH TOA

Hey there! 👋 Learning about sine, cosine, and tangent can be super useful in math and real life. Here's a study guide and a practice quiz to help you nail it! Let's get started! 📐
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dominicball2005 Jan 7, 2026

📚 Quick Study Guide

  • 📐 SOH CAH TOA: This is the mnemonic to remember the trigonometric ratios.
  • sin(θ) = Opposite / Hypotenuse (SOH)
  • cos(θ) = Adjacent / Hypotenuse (CAH)
  • tan(θ) = Opposite / Adjacent (TOA)
  • 💡 Opposite: The side opposite to the angle θ.
  • 🧭 Adjacent: The side adjacent (next to) to the angle θ (that is not the hypotenuse).
  • 📏 Hypotenuse: The longest side of the right-angled triangle, opposite the right angle.
  • Remember: These ratios only apply to right-angled triangles.

📝 Practice Quiz

  1. What does SOH stand for in SOH CAH TOA?
    1. A. Sine = Adjacent / Hypotenuse
    2. B. Sine = Opposite / Hypotenuse
    3. C. Sine = Opposite / Adjacent
    4. D. Sine = Hypotenuse / Opposite
  2. What does CAH stand for in SOH CAH TOA?
    1. A. Cosine = Opposite / Hypotenuse
    2. B. Cosine = Adjacent / Opposite
    3. C. Cosine = Adjacent / Hypotenuse
    4. D. Cosine = Hypotenuse / Adjacent
  3. What does TOA stand for in SOH CAH TOA?
    1. A. Tangent = Opposite / Hypotenuse
    2. B. Tangent = Opposite / Adjacent
    3. C. Tangent = Adjacent / Hypotenuse
    4. D. Tangent = Hypotenuse / Opposite
  4. In a right-angled triangle, if the opposite side is 3 and the hypotenuse is 5, what is the sine of the angle?
    1. A. 3/4
    2. B. 4/5
    3. C. 3/5
    4. D. 5/3
  5. In a right-angled triangle, if the adjacent side is 4 and the hypotenuse is 5, what is the cosine of the angle?
    1. A. 3/5
    2. B. 4/5
    3. C. 3/4
    4. D. 5/4
  6. In a right-angled triangle, if the opposite side is 3 and the adjacent side is 4, what is the tangent of the angle?
    1. A. 4/3
    2. B. 3/5
    3. C. 4/5
    4. D. 3/4
  7. Which trigonometric ratio involves the opposite and adjacent sides of a right-angled triangle?
    1. A. Sine
    2. B. Cosine
    3. C. Tangent
    4. D. Hypotenuse
Click to see Answers
  1. B
  2. C
  3. B
  4. C
  5. B
  6. D
  7. C

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