Math, asked by arpitkatiyar1999, 11 months ago

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

Answers

Answered by ItzSmartyYashi
19

\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}}}}

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