Question

Graph the expression sec^ 2 x - sec^ 2 x sin^ 2 x on your calculator. Determine what constant or single function is equivalent to the given expression.

Answer 1

factor out the common thing and see if you can simplify what remains

Answer 2

So it would be 1/sin ^2x -1/sin^2x sin^2x/1

Answer 3

you need to use the equation editor...

also, sec x is not 1/sin x

Answer 4

\[\sec ^{2}x- \sec ^{2}x \sin ^{2}x\]

is this what you have?

Answer 5

Yeah

Answer 6

so factor first and write what you get... i'll wait
and use the equation editor

Answer 7

please

Answer 8

\[\frac{ 1 }{ \cos^2x } - \frac{ 1 }{ \cos^2x}\sin ^2x\]

Answer 9

not what I was looking for quite yet... you should factor first. good job on using the editor!

Answer 10

What did u mean by factoring ?

Answer 11

do you know the distributive property? usually students only think of it as going one way, but it goes both. no pun intended.

a(b+c) => ab + ac this is how most think of the distributive property.

but it also works like this ab + ac => a(b+c)

when it's done like this it's called factoring.

look familar?

Answer 12

Ok but how would I use in this problem

Answer 13

what do both terms in your expression have in common?

factor that out...

Answer 14

Ok so all that will be left is sin^2x

Answer 15

no...
look
\[\sec ^{2}x- \sec ^{2}x \sin ^{2}x= \sec ^{2}x \left( 1-\sin ^{2}x \right)\]

Answer 16

what's 1-sin^2 (x) equal to?

what's sec^2 (x) equal to?

what do you get when you multiply them together?

Answer 17

yo dude... did you get this one?