Question

I am in need of major help with these math problems. If anyone can help me , i will be really thankful !
csc2x = 1/2Csc(x)Sec(x)

sin(x)/1-cos + 1-cos/sin(x) = 2Csc

Sec^2x/Cot(x) - Tan^2 = Tan

These problems are all "prove the identity"
Thank you to everyone who participates !

Answer 1

I'll do the first one to get you started

Answer 2

csc(2x) = (1/2)*csc(x)*sec(x)


1/(sin(2x)) = (1/2)*csc(x)*sec(x)


1/(2*sin(x)*cos(x)) = (1/2)*csc(x)*sec(x)


(1/2)*(1/sin(x))*(1/cos(x)) = (1/2)*csc(x)*sec(x)


(1/2)*csc(x)*sec(x) = (1/2)*csc(x)*sec(x)


So the identity is confirmed.

Answer 3

I used the identities found on this page

http://www.sosmath.com/trig/Trig5/trig5/trig5.html

Answer 4

Thank you ! I understand the identities now. They are just somewhat frustrating because of the many combinations

Answer 5

yeah it takes a while to get used to it, but you'll get better with more practice