Verify the identity

sinx + sinxtan^2x = tanxsecx

I've done some of it, but I'm confused. Help?

Given:

Given that we need to prove the identity

Proof:

Step 1: Factor out the common term sin x, we get;

Step 2: Using the identity

Step 3: Reciprocating sec x, we get;

Step 4: Splitting the denominator, we have;

Simplifying, we get;

Thus, the identity is proved.

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