IB Mathematics Analysis and Approaches (AA) HL Internal Assessment Example

How does the parity (evenness/oddness) of positive integer parameters a and b affect the periodicity, symmetry (evenness or oddness), boundedness, monotonicity and extrema of the trigonometric functions 𝑓(𝑥) = 𝑠𝑖𝑛(𝑥) + 𝑐𝑜𝑠 (𝑥) and ℎ(𝑥) = 𝑠𝑖𝑛(𝑥) − 𝑐𝑜𝑠 (𝑥)?HL