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Year 11 (2026) Maths Advanced (2026) Trigonometry

Cosine Rule

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Question 1
31098

\(ABCD\) is a parallelogram in which the length of \(AB\) and \(AD\) are 2 cm and 1 cm respectively and \(\angle ABC = 60^\circ\), also the diagonals cut at \(P\) and \(\angle APB = \theta^\circ\).

Calculate the \(\textbf{exact}\) values of

i) \(AC\)

ii) \(BD\)

iii) \(\cos \theta\)

i) \(AC = \sqrt{3}\)  ii) \(BD = \sqrt{7}\) iii) \(\dfrac{-\sqrt{21}}{7}\)

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