IB Math HL Trigonometry Test 6 2018 P1 Q5

IB Math HL Trigonometry Test 6 2018 P1 Q5

IB Year 6 | Grade 12
5 marks

A right triangle \(ABC\) has \(\angle C=90^\circ\), \(AB=c\), \(AC=b\), and \(BC=a\). Given that \(a^2,b^2,c^2\) are in arithmetic progression, find the exact values of \(\tan A\) and \(\cos A\).[5]

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Answer:\(\tan A=\frac1{\sqrt2}\), \(\cos A=\sqrt{\frac23}\).

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