(sinθ/(1-cotθ)) + (cosθ/(1-tanθ)) = cosθ + sinθ

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AI Thread Summary
The discussion centers on proving the equation (sinθ/(1-cotθ)) + (cosθ/(1-tanθ)) = cosθ + sinθ. A participant shares their near-complete solution but expresses frustration over a mistake related to the difference of squares. Another member offers constructive feedback, suggesting improvements for posting images of work, emphasizing clarity and appropriate sizing. The conversation highlights the collaborative nature of solving mathematical problems and the importance of clear communication in sharing solutions. Overall, the thread showcases the process of tackling a trigonometric proof while encouraging better presentation of work.
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Homework Statement


I have to prove that:

(sinθ/(1-cotθ)) + (cosθ/(1-tanθ)) = cosθ + sinθ


Homework Equations





The Attempt at a Solution


Here's my attempt at solution...
6gy26c.jpg

 
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Very close!
a2 - b2 = ?
 
OMG how unbelievably stupid of me...
obviously (a - b)(a + b)

thanks a lot bro... :D
 
th4450,
If you post a photo of your work in another thread,
1) Take a better picture. This one was so dark it was barely legible.
2) Shrink the image so that it is no larger than 800 x 600 pixels.
 

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