Answer:
see explanation
Step-by-step explanation:
Using the cofunction identities
tan(90 - A) = cotA and cscA = sec(90- A)
Consider the left side
tanA + tan(90 - A)
= 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 × cscA
= secA. sec(90 - A) = right side ⇒ verified
