Answer:
The answer to your question is below
Step-by-step explanation:
[tex]\frac{tan^{2} x}{tan^{2} x + 1} = sin^{2} x[/tex]
[tex]\frac{\frac{sin^{2}x }{cos^{2} x} }{\frac{sin^{2}x }{cos^{2} x} + 1} = sin^{2}x\\[/tex] convert tanx to sinx/cos x
[tex]\frac{\frac{sin^{2}x }{cos^{2} x} }{\frac{sin^{2}x + cos^{2} x }{cos^{2}x } } = sin^{2} x[/tex] simplify
[tex]\frac{sin^{2} x}{sin^{2} x + cos^{2}x } = sin^{2} x[/tex]
sin²x + cos²x = 1 Use identity of sinx and cosx
sin²x = sin²x
