Answer:
tanx + cotx = [tex]\frac{1}{sinxcosx}[/tex]
Step-by-step explanation:
Explanation
Take R.H.S = [tex]\frac{1}{sinxcosx}[/tex]
= [tex]\frac{sin^{2}x+cos^{2}x }{sinxcosx}[/tex]
= [tex]\frac{sin^{2}x }{sinx cosx} + \frac{cos^{2} x}{sinxcosx}[/tex]
= [tex]\frac{sinx}{cosx} + \frac{cosx}{sinx}[/tex]
= tanx + cotx
tanx + cotx = [tex]\frac{1}{sinxcosx}[/tex]