Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
cosa = [tex]\frac{1}{seca}[/tex] , sina = [tex]\frac{1}{coseca}[/tex] , sin²a + cos²a = 1
Consider the left side
[tex]\frac{1}{sec^2a}[/tex] + [tex]\frac{1}{cosec^2a}[/tex]
= cos²a + sin²a
= 1 = right side ⇒ verified
