NSW Y11 Maths - Extension 1 Inverse Trig Functions and Identities Identities

Resources for Identities

• Questions

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Identities Theory

NSW Syllabus Reference

NSW Syllabus Reference: ME-T2 Further Trigonometric Identities. This will require student to 

• derive and use the sum and difference expansions for the trigonometric functions \(\sin (𝐴 \pm 𝐵),\, \cos (𝐴 \pm 𝐵)\) and \(\tan (𝐴 \pm 𝐵)\) (ACMSM044)
• derive and use the double angle formulae for \(\sin 2𝐴,\, \cos 2𝐴\) and \(\tan 2𝐴\) (ACMSM044)
• derive and use expressions for \(\sin 𝐴,\, \cos 𝐴\) and \(\tan 𝐴\) in terms of \(t\) where \(t=\tan \dfrac{A}{2}\) (the \(t\)-formulae)
• derive and use the formulae for trigonometric products as sums and differences for \(\cos 𝐴 cos 𝐵,\, sin 𝐴 sin 𝐵,\, sin 𝐴 cos 𝐵\) and \(cos 𝐴 sin 𝐵\) (ACMSM047)

Ref: https://educationstandards.nsw.edu.au/