Answer:
L.H.S=R.H.S
Step-by-step explanation:
L.H.S=sin²x+tan²x+cos²x
=tan²x+1 *** sin²x+cos²x=1 ***
=[tex]\frac{sin^{2} x}{cos^{2}x } +\frac{cos^{2} x}{cos^{2}x }[/tex]
=[tex]\frac{sin^{2}x+cos^{2}x}{cos^{2}x }[/tex]
=[tex]\frac{1}{cos^{2}x }[/tex]
=sec²x ***[tex]\frac{1}{cos^{2}x }[/tex]=sec²x***
