2025 Paradigm Sec 3 Mock EOY Q15

2025 Paradigm Sec 3 Mock EOY Q15

Secondary 3
3 marks

[Trigonometry Simplifying & Quadrant]

  1. Without using a calculator, find the exact value of \(\cot\left(\dfrac{2\pi}3\right)\).[1]
  2. Given that \(\sin A=-\dfrac5{13}\) and \(\tan A>0\), find without using a calculator, the numerical value of
    1. \(\sec A\),[1]
    2. \(\tan(-A)\).[1]

Solution:

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Answer:(a) \(-\dfrac{\sqrt3}3\); (b)(i) \(-\dfrac{13}{12}\); (ii) \(-\dfrac5{12}\).

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