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

📚 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