Question

cscθ-cotθ=sinθ/(1+cosθ)

im working on the left side and i got:
(1/sinθ) - cosθ/sinθ = (1- cosθ)/sinθ

now im stuck. help?

Answer 1

what did you do to the right? What is the assignment, are you proving one side equal to other, or solving equation?

Answer 2

what the original problem?

Answer 3

yep, that works... keep going:)

Answer 4

i am proving that both sides are equal and im only allowed to work on one side.

Answer 5

\[\frac{ 1-\cos \theta }{\sin \theta } =\frac {\sin \theta } {1+\cos \theta }\]

Answer 6

oh, only allowed to work on the LHS?

Answer 7

that is what i have so far but im stuck and what does LHS mean?

Answer 8

left hand side

Answer 9

i can work on either side but once i start working on one side im limited to that side.

Answer 10

ok

Answer 11

use sin^2 x + cos ^2 x =1

Answer 12

sin^2 x = 1- cos^2 x = (1+cosx)(1-cosx)

Answer 13

multiply the top and bottom by cos(theta) .right, then use identities to simplify.

Answer 14

sin x / (1-cosx) = (1+cosx)/sin x

Answer 15

or vice versa:)

Answer 16

It requires algebraic manipulation. Continuing from Algebraic work above