Find the general sol of

2sinAcosA - 3sinA - 3cosA + 3 = 0

The answers are

These are the answers that i have got .Tell me if they are correct.

1st set is wrong, 2nd and 3rd are fine

(sin A + cos A)² = 1+2 sin A cos A.

Hence 2 sin A cos A = (sin A + cos A)² - 1

Let sin A + cos A = t

The equation becomes t² -1 -3t+3 = 0 or t²-3t+2 = 0 which has solutions t = 1 or t = 2

Since the max value of sin A  + cos A is 2^1/2, t cannot be 2

Hence t = 1 i.e. sin A + cos A = 1 which means sin A = 0 and cos A = 1 or sin A = 1 and cos A = 0

Hence the solutions are as indicated.