Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x
cosec x = [tex]\frac{1}{sinx}[/tex]
Consider left side
[tex]\frac{sinx}{1-cos^2x}[/tex]
= [tex]\frac{sinx}{sin^2x}[/tex]
= [tex]\frac{1}{sinx}[/tex]
= cosec x = right side ⇒ proven
