1.The most general values of xxx for which sinx+cosx=mina∈R{1, a2−4a+6}\sin x + \cos x = \min_{a \in \mathbb{R}}\{1,\; a^2 - 4a + 6\}sinx+cosx=mina∈R{1,a2−4a+6} is given bya.2nπ2n\pi2nπb.2nπ+π22n\pi + \dfrac{\pi}{2}2nπ+2πc.nπ+(−1)nπ4−π4n\pi + (-1)^n\dfrac{\pi}{4} - \dfrac{\pi}{4}nπ+(−1)n4π−4πd.None of theseLogin to continueOnly logged in users canattempt or see the solution.
