Question

Verify the trigonometric identity: tan(x)+cot(x)=sec(x)csc(x)

Answer 1

okai work on L.S= Sinx+cos2x/sinxcosx

Answer 2

tan(x) + cot(x) = (sin(x)/cos(x)) +(cos(x)/sin(x)) = (sin^2(x) + cos^2(x))/(cos(x) * sin(x)
=1/cos(x)*sin(x) = sec(x)csc(x)

Answer 3

how do you know which side to work on ?

Answer 4

always work on the complicated side

Answer 5

okay, i'll try and let you know how it goes >.<

Answer 6

if you get stuck tell me, that one is complicated XD

Answer 7

hows it going so far? Did you figure out whats next?

Answer 8

I went with
LHS= sinx/cosx +cosx/sinx
=(sin^2x+cos^2x)/sinxcosx
and now im stuck again >.<
I feel im going in circles lol

Answer 9

AWESOME, you got it okai, now that will equal 1/sinxcosx

Answer 10

okay then what ? o.O

Answer 11

LOL Okai if you remeber what does 1/sinx? and what is 1/cosx?

Answer 12

equal..sorry XD

Answer 13

cosx and sec x ! YOU ARE AMAZING. shpanks

Answer 14

lol nah im stuck in a trig identity question too :')