Question 97
Find all values of the real parameter $a$ such that the equation
$$
a(\sin 2x + 1) + 1 = (a-3)(\sin x + \cos x)
$$
has a solution.
$$
a(\sin 2x + 1) + 1 = (a-3)(\sin x + \cos x)
$$
has a solution.
MathNet 2005 — Part 02 Question 97
Math Olympiad Vault · MathNet 2005 — Part 02