Q. Maximum value of $\sin{\theta + \cos\theta}$ in $\left\lbrack 0,\ \frac{\pi}{2} \right\rbrack$ is
A) $\sqrt{2}$
B) 2
C) 0
D) $- \sqrt{2}$
Explanation
(a)
Maximum value of $\sin{\theta + \cos\theta} = \sqrt{1 + 1} = \sqrt{2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.