1.05m m) Understand the geometrical proofs of these The geometrical proofs of the compound angle formulae is formulae. new content in the reformed specification. 1.05n n) Understand and be able to use expressions for in C3 Trigonometry (c) use trigonometrical identities for the simplification and – the equivalent forms of or . (c)(iv) exact evaluation of expressions, and in the course of solving equations within a specified interval, and select an identity or In particular, learners should be able to: identities appropriate to the context, showing familiarity in 1. sketch graphs of , particular with the use of 2. determine features of the graphs including (iv) the expression of in the forms or minimum or maximum points and 3. solve equations of the form . 1.05o o) Be able to solve simple trigonometric equations in C2 Trigonometry (h) find all the solutions, within a specified interval, of the – a given interval, including quadratic equations in , (h) equations and of equations (for example, a quadratic in and and equations involving multiples of the which are easily reducible to these forms unknown angle. e.g. for for for 1.05o Extend their knowledge of trigonometric equations to include radians and the trigonometric identities in Stage 2.
1.05m m) Understand the geometrical proofs of these formulae. The geometrical proofs of the compound angle formulae is new content in the reformed specification. 1.05n n) Understand and be able to use expressions for in the equivalent forms of or . In particular, learners should be able to: 1. sketch graphs of , 2. determine features of the graphs including minimum or maximum points and 3. solve equations of the form . C3 – Trigonometry (c)(iv) (c) use trigonometrical identities for the simplification and exact evaluation of expressions, and in the course of solving equations within a specified interval, and select an identity or identities appropriate to the context, showing familiarity in particular with the use of (iv) the expression of in the forms or 1.05o o) Be able to solve simple trigonometric equations in a given interval, including quadratic equations in , and and equations involving multiples of the unknown angle. e.g. for for for C2 – Trigonometry (h) (h) find all the solutions, within a specified interval, of the equations and of equations (for example, a quadratic in which are easily reducible to these forms 1.05o Extend their knowledge of trigonometric equations to include radians and the trigonometric identities in Stage 2.