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Year 11 (2025) Maths Extension 1 Inverse Trig Functions and Identities

Half Angle Formulae

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Questions
Question 1
14081

Given that \(\tan (\dfrac{\theta }{2}) = t\), then \(1 + \cot \theta \cot \dfrac{\theta }{2}\) =

\(\dfrac{{{t^2} + 1}}{{2{t^2}}}\)

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