Step-by-step explanation:
In the above right Angled triangle , we have ,
- perpendicular = 12
- base = 9
- hypontenuse = ?
For finding hypontenuse use Pythagoras Theorem , we have ,
⇒ h² = p² + b²
⇒ h² = 9² + 12²
⇒ h² = 81 + 144
⇒ h² = 225
⇒ h = √225
⇒ h = ± 15
⇒ h = 15 [ Neglect -ve value ]
Therefore ,
- cosθ = b/h = 9/15
- sinθ = p/h = 12/15
- tanθ = p/b = 12/9
- cosecθ = h/p = 15/12
- secθ = h/b = 15/9
- cotθ = b/p = 9/12
