Advanced Trigonometry

I know the exact values of sin θ and cos θ for θ = 0°, 30°, 45°, 60° and 90°, and tan θ for θ = 0°, 30°, 45°, 60°

I can solve problems using Pythagoras's theorem and trigonometry without a calculator

I can apply Pythagoras' theorem to solve problems in 3D

I can apply the trigonometric ratios to solve problems in 3D

I can apply the cosine rule to find a missing angle

I can identify when to use Pythagoras' theorem, the trigonometric ratios and the sine/cosine rules

I solve problems using the sine and cosine rules to find unknown lengths and angles

I can solve bearing problems including advanced trigonometry

I can apply the formula A = ½absinC to calculate the area of a triangle

I can apply the formula A = ½absinC to calculate the sides or angles of a triangle

I can apply the formula A = ½absinC to calculate the area of a segment

I can recognise and sketch graphs of trigonometric functions

I can use the graphs of trigonometric functions to find the solutions to a trigonometric equation between a given range

I can recognise and sketch graphs of transformed trigonometric functions and state the turning points