Verify the identitiy:

sinx/1-cosx = cscx + cotx

Drag an expression into each box to correctly complete the verification of the identity.

    =          +  

Step-by-step explanation:

To verify the identity:

sinx/1-cosx = cscx + cotx

we will follow the steps below;

We will take just the left-hand side and work it out to see if it is equal to the right-hand side

sinx/1-cosx

Multiply the numerator and denominator by 1 + cosx

That is;

    =    

open the parenthesis on the right-hand side of the equation at the numerator and the denominator

sinx(1+cosx) = sinx + sinx cosx

(1-cosx)(1+cosx) = 1 - cos²x

Hence

    =  

But 1- cos²x  = sin²x

Hence we will replace  1- cos²x  by  sin²x

       =           =     =  

                                  =   +  

                                   =   +  

                                   =  +  

    =          +  

Note that;

 =                        

    =      

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