SOLUTION: Hello! I need help solving this please. Verify the identity. 3 cosθ cotθ/(1-sinθ) -3= 3 cscθ thank you

You need to know the following:  

(1). 
(2). 
(3). , 
     (a) its rearrangement as 
     (b)  is factorable as the difference of
       squares as 
   (c) That the factor  will become (b) if multiplied
       by its conjugate  factor 

To prove:

 

Us (1) on cos(θ)

Work with the left side.

Use (3c) to make the denominator become  by multiplying
top and bottom by its conjugate:








Divide top and bottom by cos(θ)



Change division by cosθ as multiplying by 1/cosθ











Get the LCD:









Use (2)



Edwin