Answer:
see explanation
Step-by-step explanation:
Consider the left side
Using the trigonometric identities
csc x = [tex]\frac{1}{sinx}[/tex] and sec x = [tex]\frac{1}{cosx}[/tex]
Note that sin( [tex]\frac{\pi }{2}[/tex] - x) = cos x
Hence
csc([tex]\frac{\pi }{2}[/tex] - x)
= [tex]\frac{1}{sin(\frac{\pi }{2}-x) }[/tex]
= [tex]\frac{1}{cosx}[/tex]
= sec x = right side ⇒ proven
