Question

Verify (1-sin^2x over cosx= cosx) as a trig identity

Answer 1

DO you have to use another identity to do this, or a triangle?

Answer 2

It doesn't say but I think it's another identity

Answer 3

1-sin^2x over cosx= cosx

since sin^2x+cos^2x=1, therefore we an imply that (if we subtract sin^2x from both sides)
sin^2x+cos^2x=1
sin^2x+cos^2x+sin^2x-sin^2x=1-sin^2x
cos^2x=1-sin^2x

Now substitute, cos^2x=1 for 1-sin^2x

1-sin^2x over cosx ---> cos^2x over cosx
cos^2x over cosx
divide top and bottom by cosx

cosx=cosx

Answer 4

Thank you

Answer 5

Anytime!
(Took this last year.)

Answer 6

It's killin me lol

Answer 7

If you need more help, I can try....

Answer 8

Ok thank you

Answer 9

Anytime!