Answer the following

PHYSICS · Multi-part · ISC · Physics · Kinematics · Kinematic equations

Problem

Answer the following, showing each step clearly: (i) Express tan A and sec A entirely in terms of sin A and cos A. (ii) Prove that 1−cos⁡2Asin⁡Acos⁡A=tan⁡A\dfrac{1-\cos^{2}A}{\sin A\cos A}=\tan A. (iii) Hence or otherwise, show that tan⁡Asec⁡A=sin⁡A\dfrac{\tan A}{\sec A}=\sin A.

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