SOLUTION: I am having trouble understanding/figuring out the following problem: Use fundamental identities to simplify the expression. (there is more than one correct form of the answer.)

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Question 1206138: I am having trouble understanding/figuring out the following problem:
Use fundamental identities to simplify the expression. (there is more than one correct form of the answer.)
sin^2(x) sec^2(x) − sin^2(x)



Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

sin%5E2%28x%29+sec%5E2%28x%29+-+sin%5E2%28x%29
use identity: sec%28x%29=1%2Fcos%28x%29 =>sec%5E2%28x%29=1%2Fcos%5E2%28x%29
=sin%5E2%28x%29+%281%2Fcos%5E2%28x%29+%29-sin%5E2%28x%29
=tan%5E2%28x%29-sin%5E2%28x%29

Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


As the statement of the problem says, there are many different equivalent forms of the given expression. And many of them do not look at all similar.

Here is an equivalent form very different from the one shown by the other tutor.

sin^2(x) sec^2(x) − sin^2(x)

sin^2(x)(sec^2(x)-1)

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