Question

Given 15 cot A = 8, find sin A and sec A..​

Answer 1

Solution of this question is in attached pic .

Answer 2

Answer:

$15cota = 8 \\ cota = \frac{8}{15 } \\ 1 + {cot}^{2} a = {cosec}^{2} a \\ 1 + { \frac{8}{15} }^{2} = {cosec}^{2} a \\ 1 + \frac{64}{225} = {cosec}^{2} a \\ \frac{(225 + 64)}{225} = {cosec}^{2} a \\ {cosec}^{2} a = \frac{289}{225} \\ coseca = \frac{17}{15} \\ ................. \\ sina = \frac{15}{17} \\ .......... \\ cosa = \sqrt{(1 - {sin}^{2}a) } \\ = \sqrt{(1 - { \frac{15}{17} }^{2} } ) \\ = \sqrt{1 - \frac{225}{289} } \\ = \sqrt{ \frac{(289 - 225)}{289} } \\ = \sqrt{ \frac{64}{289} } \\ = \frac{8}{17}$

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