Question

Prove equation is an identity: Cos(x)Csc(x)Tan(x)=1

Answer 1

\[\frac{ \cos (x) }{ 1 } \times \frac{ 1 }{ \sin(x) } \times \frac{ \sin (x) }{ \cos (x) }\] = 1

Answer 2

I just need help Simplifying

Answer 3

See if it works for x = 0

Rewrite - multiplication is commutative. Swap the sine and cosine in the denominator. That will get you started.

Answer 4

We're not supposed to solve for x?

Answer 5

If I multiply \[\frac{ \cos (x) }{ \sin (x) } \times \frac{ \sin (x) }{ \cos (x) }\] do I get \[\cos ^{2} (x) + \sin ^{2} (x)\] Which is the Pythagorean identity and = 1?

Answer 6

if you multiply all at the top you get cos(x)sin(x)
and the bottom will give you sin(x)cos(x).......can also be written as cos(x)sin(x)
so top and bottom will be the same

Answer 7

Thank you

Answer 8

No problem