G C Ioannou

A Level Mathematics G C Ioannou

Here I offer a complete Lesson on Maths A level suitable to Edexcel C3 Trigonometry-Further trigonometric identities and their applications. This set of notes completely covers the chapter with 162 worked examples. With over 20 years experience in teaching A Level (Pure Mathematics and Mechanics), I offer these notes covering a wide range of problems with complete solutions. In this way I hope to help students achieve a high score in their A Level Maths examination. Each Lesson covers theory and formula necessary for the chapter and step by step explanation of all solutions. Problems are arranged in an ascending order of difficulty reaching A level standard. Applies also for any students studying at this level. A continuation of C2-trigonometry Lesson with more advance problems. It includes: 1) Definition of cotx, secx, cosecx. 2) Use of identities such as: a) tan^2(x)+1=sec^2(x) b) cot^2(x)+1=cosec^2(x) Further Identities such as sin2x, cos2x, tan2x. Prove of the above identities. 3) Exercises involving double angles and half angles. 4) Use of sin(A+B), cos(A+B), tan(A+B), sin(A-B)..etc Use of these formula to evaluate without the use of calculator, and using standard angles the exact answers of ie cos15 etc 5) Extensive covering of proving identities involving also cases such sin3x, cos3x, tan3x etc 6) Solution of more advanced trigonometric equations. (Application of general solutions for a certain interval). 7) Solution of the trigonometric equation: acosx+bsinx=c, where a, b and c are constants. 8) Eliminating the angle from a set of equations and finding an expression for y=f(x). ie eliminate the angle from the set of equations x=2cosA+1 and y=3sinA-2. Use of the trigonometric identities. 9) Converting sums to products and products to sums. Use of such formula to solve different trigonometric problems.