Help proving trigonometric identity

[blondie1125]

Homework Statement

cos$\theta$$/$1-tan$\theta$+sin$\theta$/1-cot$\theta$=sin$\theta$+cos$\theta$

Homework Equations

The Attempt at a Solution

 

[Mark44]

Homework Statement

cos$\theta$$/$1-tan$\theta$+sin$\theta$/1-cot$\theta$=sin$\theta$+cos$\theta$

The rules of this forum say that you need to show an attempt. What have you tried?

Also, what you have written is very ambiguous. Is this the identity you are trying to prove?
$$\frac{cos(\theta)}{1 - tan(\theta)} + \frac{sin(\theta)}{1 - cot(\theta)} = sin(\theta) + cos(\theta)$$

 

[Mentallic]

It obviously just skipped Blondie's mind that maybe points 2 and 3 should be filled in also.