AS-level Edexcel Pure Maths - Module 9: Trig ratios AND Module 10: Trig identities and equations

√2÷2 - answer-- Sin(45°) - Cos(45°) √3 - answer-Tan(60°) √3÷2 - answer-- Cos(30°) - Sin(60°) √3÷3 - answer-- Tan(30°) 0 - answer-- Tan(0°) - Sin (0°) - Cos(90°) 0.5 - answer-- Sin(30°) - Cos(60°) 0.5bh - answer-Area of a right-angled triangle 1 - answer-- Tan(45°) - Sin(90°) - Cos(0°) ≡ Sin²θ+Cos²θ Area of a triangle - answer-0.5abSinC CAST diagram - answer-A unit circle that represents the sign of trig ratios Cosine - answer-- Adjacent ÷ hypotenuse Roots - Odd multiples of 90 Max value - (0,1) / (360,1) / (-360,1) Min value - (180,-1) / (-180,-1) Period - 360° Cosine rule (angles) - answer-CosA = (b²+c²-a²) ÷ 2bc Cosine rule (sides) - answer-a² = b² + c² - 2bcCosA CosX - answer-= Cos(360-x) Finding angles using the CAST diagram - answer-1. Draw the diagram 2. Mark on the angle given, starting in quadrant A 3. Find the difference between that angle and the nearest plot line Principle value - answer-The value of a trigonometric equation when put into a calculator Sine - answer-- Opposite ÷ hypotenuse Roots - Multiples of 180 Max value - (90,1) / (-270,1) Min value - (270,-1) / (-90,-1) Period - 360° Sine rule (angles) - answer-SinA÷a = SinB÷b = SinC÷c Sine rule (sides) - answer-a÷SinA = b÷SinB = c÷SinC SinX - answer-= Sin(180-x) = Cos(90-x) = Cos(x-90) Sinx