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AS LEVEL MATHS TRIGONOMETRIC IDENTITIES
Typology: Exercises
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tan and Pythagorean Identity Co-function Identity Solving Equations sin 𝜃 cos 𝜃 tan 𝜃 Equations with Linear Inputs
Solve sin 𝑥 = 0. 6 , giving your answers to the nearest degree. Solve cos 𝜃 = − 0. 3 , − 180 ° < 𝜃 < 180°, giving your answers to 1dp. Solve for 0 ° < 𝑥 < 90 °, giving your answers to 1 dp. 5 sin 2 𝑥 − 20 ° + 2 cos( 2 𝑥 − 20 )° = 0
a) Show that 10 sin^2 𝜃 − 7 sin 90 − 𝜃 + 2 3 + 2 cos 𝜃 ≡ 4 − 5 cos 𝜃 b) Hence, solve for − 180 ° ≤ 𝑥 ≤ 180° 10 sin^2 2𝑥 − 7 sin 90 − 2𝑥 + 2 3 + 2 cos 2𝑥 = 6 cos^2 2𝑥