If Sin A = 24/25 then Cot A = …………A) 25/24B) 7/24C) 24/7D) 25

1.	If Sin A = 24/25 then Cot A = …………A) 25/24B) 7/24C) 24/7D) 25/7
Answer» Correct option is: B) \(\frac{7}{24}\) We have sin A = \(\frac{24}{25}\) \(\therefore\) \(cos^2A = 1-sin^2A = 1-(\frac {24}{25})^2 = 1- \frac {576}{625} = \frac {625 -576}{625}\) = \(\frac {49}{625} = \frac {7^2}{25^2} = (\frac 7{25})^2\) \(\therefore\) cos A = \(\frac 7 {25}\) \(\therefore\) cot A = \(\frac {cos\, A}{sin \, A} = \frac {\frac 7{25}}{\frac {24}{25}} = \frac 7{24}\) Correct option is: B) \(\frac{7}{24}\)

If Sin A = 24/25 then Cot A = …………A) 25/24B) 7/24C) 24/7D) 25/7

Answer»

Correct option is: B) \(\frac{7}{24}\)

We have sin A = \(\frac{24}{25}\)

\(\therefore\) \(cos^2A = 1-sin^2A = 1-(\frac {24}{25})^2 = 1- \frac {576}{625} = \frac {625 -576}{625}\)

= \(\frac {49}{625} = \frac {7^2}{25^2} = (\frac 7{25})^2\)

\(\therefore\) cos A = \(\frac 7 {25}\)

\(\therefore\) cot A = \(\frac {cos\, A}{sin \, A} = \frac {\frac 7{25}}{\frac {24}{25}} = \frac 7{24}\)

Correct option is: B) \(\frac{7}{24}\)