Unit 1, try it
To find cos 15° exactly, 15° is written using two angles with known function values. Which way is used?
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Form 4 Mathematics
Unit 1: Analytic Trigonometry questions and answers
417 practice questions on Analytic Trigonometry, covering all 6 lessons of the unit. Each has its answer and an explanation. Free.
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Analytic Trigonometry: sample questions with answers
Unit 1, try it
Which formula gives tan(A + B)?
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Unit 1, try it
How many forms of the double angle identity for cosine are there?
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Unit 1, try it
If A/2 is a quadrant III angle, which sign is chosen for sin(A/2)?
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Unit 1, try it
Solve sin θ + 1 = 0 over the interval [0°, 360°).
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Unit 1, try it
Solve 2 sin(x/2) = 1 over the interval [0, 2π).
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What unit 1 covers
Questions follow the book: Mathematics, Secondary, Form Four, Student Book.
Lesson 1: Sum and Difference Identities for Cosine
- Sum and difference formulas for cosine
- Cofunction identities
- Alternating current
- Verifying identities
- Chapter Exercise
Lesson 2: Sum and Difference Identities for Sine and Tangent
- Sum and difference identities for sine
- Sum and difference identities for tangent
- Finding function values of A + B
- Verifying identities
- Chapter Exercise
Lesson 3: Double-angle identities
- Double angle identities
- Finding function values of 2θ
- Identities with larger multiples
- Product to sum identities
- Sum to product identities
- Chapter Exercise
Lesson 4: Half-Angle Identities
- Deriving the half angle identities
- Half angle identities
- Finding exact values
- Simplifying and verifying
- Chapter Exercise
Lesson 5: Trigonometric Equations I
- Solving by linear methods
- Solving by factoring
- Solving by quadratic methods
- Solving by using trigonometric identities
- Chapter Exercise
Lesson 6: Trigonometric Equations II
- Equations with half angles
- Equations with double angles
- Solving equations by double angle identities
- Solving equations using a multiple angle identity
- Applications of trigonometric equations
Other units of Form 4 Mathematics
- unit 2Complex Numbers
- unit 3Probability
- unit 4Statistics
- unit 5Limits and Continuity
- unit 6Differentiation
- unit 7Integration
