Question

Prove using trig:
cscx cosx tanx = 1

Answer 1

lets put up some rules before doing anything.

\(\LARGE\color{blue}{ \bf csc(x) = \frac{1}{sin(x)} }\)

\(\LARGE\color{green}{ \bf \frac{cos(x)}{sin(x)}=cot(x) }\)

\(\LARGE\color{red}{ \bf cot(x) \times tan(x)=1 }\)

Answer 2

I got disconnected.

Answer 3

\[\csc(x) \cos(x) \tan(x) = 1\] now lets apply the blue rule I posted.


\[\color{blue} { \csc(x) } \cos(x) \tan(x) = 1\]
\[\color{blue} { \frac{1}{\sin(x)} } \cos(x) \tan(x) = 1\]
\[\color{blue} { \frac{1}{\sin(x)} } \color{blue} { \cos(x) } \tan(x) = 1\]
\[\color{blue} { \frac{\cos(x)}{\sin(x)} } \tan(x) = 1\]

Do you need help applying the green and red rules I posted or not ?

Answer 4

I would like help with those also yes. Im new to this section because I was absent so I need the answers so I can review it to learn it. Thanks so much

Answer 5

cos(x) / sin(x) turns into cot(x)

and

cot(x)tan(x) =1