Question

ifcos ø=¹²/¹³,find the value of cos ø+cosesø​

Answer 1

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$cos \theta = \frac{12}{13} \\s in \theta = \sqrt{1 - {cos}^{2} \theta } \\ = \sqrt{1 - \frac{144}{169} } \\ = \sqrt{ \frac{25}{169} } \\ = \frac{5}{13} \\ cosec \theta = \frac{13}{5} \\ now \: \: \: cos \theta + cosec \theta = \frac{12}{13} + \frac{13}{5} \\ = \frac{60 + 169}{65} \\ = \frac{229}{65}$