Question

Help me prove LHS is equal to RHS?
3. 1 + sec^2x sin^2x = sec^2x

Answer 1

1 can be written as (cos^2x)(sec^2x).
I hope u can see the answer now

Answer 2

I don't get it... :c

Answer 3

Do you know that the sec is the reciprocal of the cos?

Answer 4

Hang on just a minute, let me write this all out.

Answer 5

Okay. I'm good. Yes, I get the reciprocals!

Answer 6

Ok. Glad you got it.

Answer 7

Oh wait. You misunderstood! I don't understand the problem and answer, I was saying I'm good because I got it all written out! D:

Answer 8

Replace sec^2x with 1/cos^2x

Answer 9

Okay, then do I need to multiply 1/cos^2x and sin^2x?

Answer 10

yes. And you will have:
\[\frac{\sin ^2x}{\cos ^2x}\]

Answer 11

What is that equal to?

Answer 12

And that makes tangent, right?

Answer 13

If that makes tangent, then I can use the identity tht says 1+tan^2x=sec^2x...Right?

Answer 14

Yes.

Answer 15

Awesome. Thank you! God bless you!

Answer 16

yw. You too.