Question

if tano = 8/5 Find the other trignometre ratios​

Answer 1

Given:-

$\tan \theta = \large \frac{8}{5}$

To find:-

• Trignometric ratios

Solution:-

From attachment

$\divideontimes \: \: \: \: \sin \theta = \frac{8}{ \sqrt{89} }$

$\divideontimes \: \: \: \: \cos \theta = \frac{5}{ \sqrt{89} }$

$\divideontimes \: \: \: \: \sec \theta = \frac{ \sqrt{89} }{5}$

$\divideontimes \: \: \: \: \csc\theta = \frac{ \sqrt{89} }{ 8 }$

$\divideontimes \: \: \: \: \ \cot \theta = \frac{5}{ 8 }$

Additional information

• Also we can find ratio by using identities
• ${ \sin }^{2} \theta + { \cos }^{2}\theta = 1$
• ${ \sec }^{2} \theta = 1 + { \tan }^{2} \theta$
• ${ \csc }^{2} \theta = 1 + { \cot }^{2} \theta$