Question

if , 3sinA+4cosA=5
find the value of cosec A?​

Answer 1

$\huge{\underline{\underline{\mathfrak{Answer}}}}$

$4cos \: a = 5 - 3 \: sin \: a$

$16 {cos \: }^{2} \: a = 25 + 9 {sin}^{2} a - 30 \: sin \: a$

$16 - 16 {sin}^{2} a = 25 + 9 {sin}^{2} \: a - 30 \: sin \: a$

$25 {sin}^{2} \: a - 30 {sin}^{2} \: a + 9 = 0$

$= > sina = \frac{30 + - \sqrt{900 - 900} }{50}$

$= > \frac{3}{5}$

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$\huge{\underline{\underline{\mathfrak{Thank you}}}}$