Question

simplify tan^2(x)-tan^2(x)sin^2(x)

Answer 1

start by factoring out `tan^2(x)`

Answer 2

tan^2(x)-tan^2(x)sin^2(x)

tan^2(x)[1 - sin^2(x)]

Answer 3

what trig identity allows one to factor out the tan^2x? , I'm having trouble grasping the concept

Answer 4

That is not an identity. Its just the distribution property a(1-b) = a-ab

for you a = tan^2(x) and b = sin^2(x)

Answer 5

ah okay,

Answer 6

Use trig identity to simplify what ganeshie did before: 1 - sin^2(x) = ?
Also write tan^2(x) as sin^2(x) / cos^2(x). Then simplify.

Answer 7

got it. thanks!

Answer 8

You are welcome.