Question

Evaluate the six trigonometric functions of the angle 0?

Answer 1

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