Question

1+tan^2x/csc^2x=tan^2x
Please help !

Answer 1

@Hero ???

Answer 2

Step 1: change 1 + tan^2(x) into sec^2(x) it is a Pythagorean identity.

Answer 3

Thats how far i got.

Answer 4

Step 2: Change the right side: tan^2(x) = sin^2(x)/cos^2(x)

Are you with me?

Answer 5

yes :)

Answer 6

On the left side, change sec^2(x) into 1/cos^2(x) and change csc^2(x) into 1/sin^2(x)

Answer 7

so the left side is just 1/cos^2(x) divided by 1/sin^2(x) which is just sin^2(x)/cos^2(x) which is equal to the right side which is sin^2(x)/cos^2(x).

Done.

Answer 8

@zaragoza96 Do you understand every step?

Answer 9

so why is it flipped, what is canceled out in order to have sin on top
?

Answer 10

When you divide, you flip

Answer 11

watch.........

Answer 12

That was very helpful, Thank you so much !

Answer 13

See what I did?

Answer 14

yes , you are the best !

Answer 15

Very welcome.