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Trigonometry (10 Maths)

Trigonometry is the study of relationships between sides and angles in triangles and has numerous applications in navigation, surveying, and engineering. U

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TL;DR: Trigonometry is the study of relationships between sides and angles in triangles and has numerous applications in navigation, surveying, and engineeri…

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Trigonometry is the study of relationships between sides and angles in triangles and has numerous applications in navigation, surveying, and engineering. U

Trigonometry MCQs with Answers & Explanations

Q1. In a right-angled triangle, sin A =

  1. Hypotenuse / Opposite
  2. Opposite / Hypotenuse ✓ (correct)
  3. Adjacent / Hypotenuse
  4. Opposite / Adjacent

Q2. If sin A = 3/5 and angle A is acute, then cos A =

  1. 4/5 ✓ (correct)
  2. 3/4
  3. 5/4
  4. 5/3

Q3. The value of sin 0 degrees is:

  1. 0 ✓ (correct)
  2. 1
  3. 1/2
  4. -1

Q4. tan A = cot A when A =

  1. 30 degrees
  2. 45 degrees ✓ (correct)
  3. 60 degrees
  4. 90 degrees

Q5. If sin A = cos B and A and B are acute angles, then A + B =

  1. 90 degrees ✓ (correct)
  2. 180 degrees
  3. 45 degrees
  4. 60 degrees

Q6. The value of sec 60 degrees is:

  1. sqrt(2)
  2. 2 ✓ (correct)
  3. 2/sqrt(3)
  4. sqrt(3)/2

Q7. If tan A = 1/sqrt(3), then A =

  1. 30 degrees ✓ (correct)
  2. 45 degrees
  3. 60 degrees
  4. 90 degrees

Q8. sin^2 A + cos^2 A =

  1. 0
  2. 1 ✓ (correct)
  3. 2
  4. -1

Q9. If a ladder of length 10 m leans against a wall making 60 degrees with the ground, the height at which it touches the wall is:

  1. 5 m
  2. 5sqrt(3) m ✓ (correct)
  3. 10sqrt(3) m
  4. 10 m

Q10. The angle of elevation from a point on the ground to the top of a 20 m building is 30 degrees. The distance from the point to the base of the building is:

  1. 10 m
  2. 20sqrt(3) m ✓ (correct)
  3. 40/sqrt(3) m
  4. 10sqrt(3) m

Frequently Asked Questions

What are the complementary angles in trigonometry?

Two angles are complementary if their sum is 90 degrees, and sin A = cos(90 - A) and cos A = sin(90 - A).

How are trigonometric ratios used in solving real-world problems?

Trigonometric ratios are used in problems involving angles of elevation, angles of depression, and heights and distances.

More 10 Maths MCQs

  • Real Numbers
  • Polynomials
  • Quadratic Equations
  • Triangles
  • Probability

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