What you have to know:
- You must be able to manipulate simple algebraic expressions. (If not, check this lesson)
- The Pythagorean theorem.
Trigonometry -Sine-Cosine Rules
"There is geometry in the humming of the strings, there is music in the spacing of the spheres. "
Pythagoras
The sine rule
What you have to know:
- The Pythagorean theorem.
The cosine rule
What you have to know:
- The Pythagorean theorem.
Area of a triangle
What you have to know:
- The Pythagorean theorem.
Extra
Material and references:
- Hodder Book SL(ISBN: 9781510462359) :
18A
Key Points
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You should be able to convert between degrees and radians: \[ 360^\circ = 2\pi \text{ radians}. \]
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You should be able to find the length of an arc of a circle: \[ s = r\theta, \] where \( r \) is the radius of the circle and \( \theta \) is the angle subtended at the centre measured in radians.
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You should be able to find the area of a sector of a circle: \[ A = \tfrac{1}{2} r^2\theta, \] where \( r \) is the radius of the circle and \( \theta \) is the angle subtended at the centre measured in radians.
IB Past Paper Problems
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