Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
tan a = [tex]\frac{sina}{cosa}[/tex], cot a = [tex]\frac{cosa}{sina}[/tex]
sec a = [tex]\frac{1}{cosa}[/tex], cosec a = [tex]\frac{1}{sina}[/tex]
Consider the left side
tana + cota
= [tex]\frac{sina}{cosa}[/tex] + [tex]\frac{cosa}{sina}[/tex]
= [tex]\frac{sin^2a+cos^2a}{cosasina}[/tex]
= [tex]\frac{1}{cosasina}[/tex]
= [tex]\frac{1}{cosa}[/tex] × [tex]\frac{1}{sina}[/tex]
= seca . coseca
= right side , thus proven
