If the dimensions of the right-angled triangle having a corresponding angle \(\theta\) is given by:
 
Opposite side \(=\) 24
 
Adjacent side \(=\) 18
 
Hypotenuse \(=\) 30
 
Determine all the six trigonometric ratios.
 
Answer:
 
(i) \(\sin \theta\) \(=\) ii
(iv) \(\text{cosec}\,\theta\) \(=\) ii
(ii) \(\cos \theta\) \(=\) ii
(v) \(\sec \theta\) \(=\) ii
(iii) \(\tan \theta\) \(=\) ii
(vi) \(\cot \theta\) \(=\) ii
 
[Note: Enter the fractional values in their lowest form]