Question

Prove the identity.
(1-cosx)(1+cosx)=1/1+cot^2(x)

Answer 1

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

Answer 2

\(\Large\color{black}{Another~~~rule,~~~ \bf 1+cot^2(x)=sec^2(x) }\)

Answer 3

\(\normalsize \color{black}{ \bf sin^2(x)=1/1+cot^2(x) }\)

as you have worked out already,

\(\normalsize \color{black}{ \bf sin^2(x)=1/sec^2(x) }\)

\(\normalsize \color{black}{ \bf sin^2(x)=cos^2(x) }\)

No.. IT is NOT an identity.....

Answer 4

i understand it is this computer program we are using

Answer 5

my bad, hold on

Answer 6

thanks for your time

Answer 7

\(\normalsize \color{black}{ \bf sin^2(x)=1/1+cot^2(x) }\)

\(\normalsize \color{blue}{ Rule:~\bf 1+cot^2(x)=csc^2(x) }\)

so it IS an identity, sorry.

Answer 8

;)

Answer 9

you get the idea though... that's the main thing.

Answer 10

sin^2(x)=1/csc^2(x)=1/1+cot^2(x)

Answer 11

sweet

Answer 12

yes.... :)

Answer 13

thanks

Answer 14

you welcome.. I'll try not to confuse you again if we hopefully meet again.