Enrich · Mathematics Extension 1 11–12 – Year 12 · Inverse trigonometric functions
Enrich Examine the graphs of the composite functions (y = sin)^(- 1)(sinx), (y = cos)^(- 1)(cosx) and (y = tan)^(- 1)(tanx), establish the values of x for which the formulas sin^(- 1)(sinx) = x, cos^(- 1)(cosx) = x and tan^(- 1)(tanx) = x are true, and apply the formulas to solve problems, simplify expressions and prove results
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