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Question Number 3317 by rishabh last updated on 10/Dec/15

$$\mathrm{If}\mathrm{cosec}\theta ,\sec \theta ,\mathrm{and}\cot \theta \mathrm{are}\mathrm{in}\mathrm{H}.\mathrm{P}.,\mathrm{then}$$$$\frac{\sin \theta +\tan \theta }{\cos \theta }=?$$

Answered by prakash jain last updated on 10/Dec/15

$$\frac{2}{\sec \theta }=\frac{1}{\mathrm{cosec}\theta }+\frac{1}{\cot \theta }=\sin \theta +\tan \theta$$$$2\cos \theta =\sin \theta +\tan \theta$$$$\frac{\sin \theta +\tan \theta }{\cos \theta }=2$$

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