Answer the following questions.

CHEMISTRY · Multi-part · ISC · Chemistry · Classification of Elements and Periodicity in Properties · Coordination Compounds

Problem

Answer the following questions. (i) Prove that (sec⁡θ−tan⁡θ)(sec⁡θ+tan⁡θ)=1(\sec\theta-\tan\theta)(\sec\theta+\tan\theta)=1 for 0∘<θ<90∘0^\circ<\theta<90^\circ. (ii) Using the result obtained in part (i), simplify 1sec⁡θ−tan⁡θ+1sec⁡θ+tan⁡θ\displaystyle \frac{1}{\sec\theta-\tan\theta}+\frac{1}{\sec\theta+\tan\theta} and write your answer in its simplest form.

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