CIE A Level Maths: Pure 3復習筆記3.3.1 Strategy for Further Trigonometric Equations
Strategy for Further Trigonometric Equations
How to approach solving harder trig equations
- You can solve harder trig equations, such as those involving?reciprocal?and?inverse?functions in a variety of different ways
- Using?further trigonometric identities
- Using?compound or double angle?formulas
- Factorising?quadratic?trig equations
- Then finding all solutions using?CAST?or?sketching graphs
- The final rearranged equation you solve will involve?sin,?cos?or?tan?– don’t try to solve an equation with?cosec,?sec, or?cot?directly
- If you’re having trouble solving a trig equation, this flowchart might help:
Exam Tip
- Try to use identities and formulas to reduce the equation into its simplest terms.
- Don’t forget to check the function range and ensure you have included all possible solutions.
- If the question involves a function of x or θ ensure you transform the range first (and ensure you transform your solutions back again at the end!).
Worked Example
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