Question

How do I prove this equation? * this is a grade 11 math problem.​

Answer 1

Answer:

The answer to your question is below

Step-by-step explanation:

                       

$\frac{tan^{2} x}{tan^{2} x + 1} = sin^{2} x$

$\frac{\frac{sin^{2}x }{cos^{2} x} }{\frac{sin^{2}x }{cos^{2} x} + 1} = sin^{2}x$                                                                      convert tanx to sinx/cos x

$\frac{\frac{sin^{2}x }{cos^{2} x} }{\frac{sin^{2}x + cos^{2} x }{cos^{2}x } } = sin^{2} x$                                                         simplify

$\frac{sin^{2} x}{sin^{2} x + cos^{2}x } = sin^{2} x$

               sin²x + cos²x = 1                                  Use identity of sinx and cosx

                                sin²x = sin²x