Question

trigonometric identities?

I'm given the identity

sin(x) x cot(x) = 1, and am told to solve for cos(x), but how do I find the number value?

any help would be great. thanks in advance!


edit: i'm having the same problem with trying to figure out this one

i'm given cos(x) = cot(x), and told to find csc.

Answer 1

see we know that tanx =1/cotx
now cotx=1/tanx=cosx/sinx from above and we know that tanx=sinx/cosx
so now replace this in sinx x cosx=1 we will get
sinx x cosx/sinx=1
sinx gets cancelled off so cosx=1

Answer 2

@shaik0124 thank you! for the second one, i understand that cos = b/c, and cot = b/a. csc = c/a, but how do i plug in numbers to solve the identity?

Answer 3

for 2nd question u cna solve like this
cosx=cosx/sinx
cosx=cosx x 1/sinx
cosx=cosx x cscx where cscx=1/sinx
divide by cosx on both sidees
1=cscx

Answer 4

thank you so much.

Answer 5

understood@mee