Question

verify the identity. justify each step.
tanx+cotx=1/sinxcosx
help im so confused on this problem i have no idea

Answer 1

rewrite the tanx and cotx

Answer 2

Ok so to do this one you have to break it up into its components and factor them out

Answer 3

what do you mean?

Answer 4

tanx= sinx/cosx
cotx+= cosx/sinx

Answer 5

ok i have that but where do i go from there?

Answer 6

so both sides have a sinx and a cosx so u can multiply both sidesby it

Answer 7

\[tanx+cotx=\frac{ 1 }{ sinxcosx }\]
\[\frac{ sinx }{ cosx }+\frac{ cosx }{ sinx }\]
\[\frac{ sinx }{ cosx }*\frac{ sinx }{ sinx }+\frac{ cosx }{ sinx }*\frac{ cosx }{ cosx }\]
\[\frac{ \sin^2x }{ sinxcosx }+\frac{ \cos^2x }{ sinxcosx }\]
\[\frac{ \sin^2x+\cos^2x }{ sinxcosx }\]
\[\frac{ 1 }{ sinxcosx }=\frac{ 1 }{ sinxcosx }\]

Answer 8

1. convert tanx and cotx into sin's and cos's
2. Get common denominators:sinxcosx
3. Add the terms up
4. Use trig identities and change sin^2x+cos^2x into 1

Answer 9

thank you very much :)

Answer 10

Ha, you're welcome :)