Domain: describes all the values of that ‘x’ is able to take. Range: describes all the values that ‘y’ is able to take. Period: of a graph describes the part of a graph, which is periodically repeated. It uses the horizontal scale. Amplitude: of a ‘wave’ graph is the height of the wave fro the horizontal.

Relations Between the Trig Ratios sin θ = y tan θ = y/x Pythagorean Identities 1. tan θ = sin θ /cos θ 2. cot θ = cos θ /sin θ 3. cos² θ + sin² θ = 1 4. 1 + tan² θ = sec² θ 5. cot² θ + 1 = cosec² θ cos θ = x cot θ = x/y

Mathematics Summary Sheets – Trigonometry

2

Trig Equations We need: • • Domain: sinx cosx all real x all real x

Range: –1 ≤ sinx ≤ 1 -1 ≤ cosx ≤ 1 ∞ < tanx < ∞

• • • •

tanθ exists except for θ = ± 90°, ± 270°, ± 450° … ASTC results Special triangles (exact ratios) Results for 0°, 90°, 180°, 270°, 360°. B c A a C

Area of a triangle

A= ½absinC

Sine Rule a b c ______ = ______ = ______ sinA sinB sinC

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