Question

Trigonometric Proof Help?
\[1 + \cot (x)=\cos(x)(\sec(x)+\csc(x))\]

Answer 1

HI!!

Answer 2

Hello!

Answer 3

most all of this is algebra, very little is trig

Answer 4

Yeah, I honestly understand most of this, I just have trouble starting equations :/

Answer 5

we can work with the right hand side and turn it in to the left hand side in one step

Answer 6

what you need to know is that \(\sec(x)=\frac{1}{\cos(x)}\) and also that \(\csc(x)=\frac{1}{\sin(x)}\)

Answer 7

So just change the identities and solve from there?

Answer 8

yes, you get it right away
\[\cos(x)(\sec(x)+\csc(x))=\cos(x)\left(\frac{1}{\cos(x)}+\frac{1}{\sin(x)}\right)\]

Answer 9

So common denomonator between 1/sinx and 1/cosx

Answer 10

no don't add, just multiply out on the right

Answer 11

Oh! Thats actually very convenient

Answer 12

isn't it just?

Answer 13

you are done right?

Answer 14

yup! thank you!

Answer 15

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