Trigonometry (10 Mathematics)
Trigonometry relates the sides and angles of right triangles. The ratios sine, cosine, and tangent are fundamental to solving problems in geometry, physics
TL;DR: Trigonometry relates the sides and angles of right triangles. The ratios sine, cosine, and tangent are fundamental to solving problems in geometry, ph…
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Trigonometry relates the sides and angles of right triangles. The ratios sine, cosine, and tangent are fundamental to solving problems in geometry, physics
Trigonometry MCQs with Answers & Explanations
Q1. In a right triangle, sin(θ) is defined as:
- Adjacent/Hypotenuse
- Opposite/Hypotenuse ✓ (correct)
- Opposite/Adjacent
- Hypotenuse/Opposite
Q2. What is the value of sin(90°)?
- 0
- 0.5
- 1 ✓ (correct)
- √3/2
Q3. tan(θ) equals:
- sin(θ)/cos(θ) ✓ (correct)
- cos(θ)/sin(θ)
- sin(θ) × cos(θ)
- sin(θ) + cos(θ)
Q4. The value of cos(0°) is:
- 0
- 0.5
- 1 ✓ (correct)
- √3/2
Q5. Which of the following is an identity?
- sin²(θ) + cos²(θ) = 1 ✓ (correct)
- sin(θ) + cos(θ) = 1
- sin(θ) - cos(θ) = 0
- sin(θ) × cos(θ) = 1
Q6. In a right triangle with angle 30°, if the hypotenuse is 10, the side opposite to 30° is:
- 5 ✓ (correct)
- 5√3
- 10
- 10/√3
Q7. The angle of elevation is measured from:
- Below the horizontal
- Above the vertical
- Above the horizontal ✓ (correct)
- The vertical downward
Q8. What is tan(45°)?
- 0
- 1/√2
- 1 ✓ (correct)
- √3
Q9. If sin(θ) = 3/5, then cos(θ) could be:
- 3/5
- 4/5 ✓ (correct)
- 5/3
- 2/5
Q10. cot(θ) equals:
- tan(θ)
- 1/tan(θ) ✓ (correct)
- sin(θ)
- cos(θ)
Frequently Asked Questions
What are the trigonometric ratios for 30°, 45°, and 60°?
For 30°: sin = 1/2, cos = √3/2, tan = 1/√3. For 45°: sin = cos = 1/√2, tan = 1. For 60°: sin = √3/2, cos = 1/2, tan = √3. These standard angles are frequently used in calculations.
How are angles of elevation and depression used in real-world problems?
Angles of elevation (when looking up) and depression (when looking down) help solve problems involving heights and distances. For example, finding the height of a building from a known distance using the angle of elevation.
More 10 Mathematics MCQs
- Coordinate Geometry
- Arithmetic Progressions
- Circles
- Surface Areas and Volumes
- Trigonometry (Applications Case Study)
- Probability (Case Study)
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