- #1
chase222
- 12
- 1
I need help solving 2 proofs:
tan x + cot x = (sec x)(csc x)
I changed the left side to:
tan x + 1/tan x = (sec x)(csc x)
then crossed out the tan:
1 = (sec x)(csc x), but I got stuck there.
The next one I had trouble with was:
tan^2 x - sin^2 x = (tan^2 x)(sin^2 x)
I saw the left side being a^2 - b^2, so I factored it into:
(tan x + sin x)(tan x - sin x) = (tan^2 x)(sin^2 x)
I then changed the tan into sin/cos:
((sin x/cos x) + sin x)) ((sin x/cos x) - sin x)) , but got stuck there.
Can you help me solve these proofs?
tan x + cot x = (sec x)(csc x)
I changed the left side to:
tan x + 1/tan x = (sec x)(csc x)
then crossed out the tan:
1 = (sec x)(csc x), but I got stuck there.
The next one I had trouble with was:
tan^2 x - sin^2 x = (tan^2 x)(sin^2 x)
I saw the left side being a^2 - b^2, so I factored it into:
(tan x + sin x)(tan x - sin x) = (tan^2 x)(sin^2 x)
I then changed the tan into sin/cos:
((sin x/cos x) + sin x)) ((sin x/cos x) - sin x)) , but got stuck there.
Can you help me solve these proofs?