Unit 4 · Class 10 IB MYP · Formula Sheet
Trigonometry Applications Formulas — Class 10 IB MYP
Apply sine and cosine rules, solve non-right triangles, and work with trigonometric graphs.
Key Formulas
Sine Rule
\dfrac{a}{\sin A} = \dfrac{b}{\sin B} = \dfrac{c}{\sin C}
Cosine Rule
c^2 = a^2 + b^2 - 2ab\cos C
Area of Triangle
A = \dfrac{1}{2}ab\sin C
Bearings
\text{Measured clockwise from North}
Identity
\sin^2\theta + \cos^2\theta = 1
tan Identity
\tan\theta = \dfrac{\sin\theta}{\cos\theta}
Worked Examples
1Using: sin 30
Find sin 30 + cos 60.
Step 1: sin 30 = 1/2, cos 60 = 1/2.
Step 2: Sum = 1/2 + 1/2 = 1.
Answer: 1
2Using: tan identity
If tan A = 3/4, find sin A.
Step 1: In right triangle: opposite = 3, adjacent = 4.
Step 2: hypotenuse = 5. sin A = 3/5.
Answer: 3/5
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