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Mathematical Requirements (Appendix C)

Trigonometry and right-angled triangles

  • 3 things to know
  • All units

Overview

Recall questions on Trigonometry and right-angled triangles.

What you need to know

Answer each one before you reveal it.

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Key term

Define sin θ in terms of the sides of a right-angled triangle.

Key term

What is the relationship between degrees and radians?

Key term

How do you convert an angle from degrees to radians?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Why is it useful to represent 3D structures as 2D diagrams in physics?

    Model answer

    To visualise and analyse spatial relationships, resolve vectors, and solve geometric problems more easily.

  2. 2

    Define sin θ in terms of the sides of a right-angled triangle.

    Model answer

    sin θ = opposite side / hypotenuse.

  3. 3

    What is the relationship between degrees and radians?

    Model answer

    360 degrees = 2π radians, or equivalently 180 degrees = π radians.

  4. 4

    How do you convert an angle from degrees to radians?

    Model answer

    Multiply the angle in degrees by π/180.

  5. 5

    What technique is required to analyse force diagrams in 2D and 3D?

    Model answer

    Resolving forces into perpendicular components using angles determined from the geometry of the situation.

  6. 6

    Why is knowledge of angles in regular 2D structures such as triangles and polygons important in mechanics?

    Model answer

    These angles are used to resolve vectors into components and to interpret force diagrams correctly.

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