## To simplify the expression, we can find a common denominator for the two terms:

sinA / (1 + sinA) - sinA / (1 - sinA)

The common denominator for the two fractions is (1 + sinA)(1 - sinA), which simplifies to 1 - sin^2 A (using the difference of squares).

Now, let's simplify the numerators:

Numerator 1: sinA - sin^2 A

Numerator 2: -sinA - sin^2 A

Combining the numerators, we have: sinA - sin^2 A - sinA - sin^2 A

Simplifying, we get: -2sin^2 A

Now, let's rewrite the expression with the simplified numerator:

-2sin^2 A / (1 - sin^2 A)

Since 1 - sin^2 A is equal to cos^2 A (using the Pythagorean identity), we can substitute cos^2 A into the denominator:

-2sin^2 A / cos^2 A

Using the definition of tangent (tan A = sin A / cos A), we can rewrite this as:

-2(tan^2 A)

Therefore, the correct answer is c) -2tan^2 A.