If for an acute angle

MATHEMATICS · Single correct · GCSE · Further Mathematics · Geometry and Trigonometry · Geometry and Trigonometry

Problem

If cos⁡A=45\cos A = \dfrac{4}{5} for an acute angle AA, find the value of sec⁡(90∘−A)+tan⁡2A\sec (90^{\circ} - A) + \tan^{2} A. (a) 2916\dfrac{29}{16} (b) 10748\dfrac{107}{48} (c) 2912\dfrac{29}{12} (d) 10936\dfrac{109}{36}

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