Question

(cos(x)sec(x))/cot(x)=tanx step-by-step solution

Answer 1

Trig

Answer 2

Just need to Verify each identity

Answer 3

Remember secx = 1/ cosx and cotx=cosx/sinx.
Also: tanx=sinx/cosx.

So begin with the left-hand side:\(\dfrac{\cos x \cdot \dfrac{1}{\cos x}}{\dfrac{\cos x}{\sin x}}\). Simplify. You will then have the right hand side...

Answer 4

I'm at that point but not sure where to go from there..

Answer 5

cos^2(x) / cosx/sinx is this the next step?

Answer 6

No, if I simplify I get: \[\dfrac{ \dfrac{ \cos x }{ \cos x } }{ \dfrac{ \cos x }{ \sin x } }=\frac{1}{\dfrac{ \cos x }{ \sin x }}=\frac{\sin x}{\cos x}\]

Answer 7

thanks! That makes sense.

Answer 8

YW!