Question

Integration of cosx/
sin(x-a)​

Answer 1

Answer:

Step-by-step explanation:

ntegration with respect to x can be solved as :

Add and subtract ‘ a’ with angle X of cos(x) ie. Cos(x+ a - a)

Now open the formula Cos(A - B) = Cos(A)Cos(B) + Sin(A)Sin(B) . Here A = (x+a) while B = a.

Integration of Cot(x+a) = ln (sin(x+a)) + K. Here K is integration constant.

Integration of 1 is X + k1 .here k1 is another integration constant.

Now new constant is C = K + k1.