mysterious maxima

Geometry Level 2

If Y=Sin(x)+Cos(x) then find out the maximum value of Y

Note:-If your answer is N then write down your answer as square of N

2 solutions

Gagan Raj
Mar 14, 2015

The max. of this equation occurs at $x = 45^\circ$ .

Hence answer would be $2\times\sqrt{2}$ $=$ $\sqrt{2}$ .

But the answer is asked in the squared form and hence the answer would be $2$ .

Gunraj Singh
Aug 8, 2014

The equation is of the form a $\sin \theta$ +b $\cos \theta$ the maximum value of which is given by $\sqrt{a^{2}+b^{2}}$ I.e $\sqrt{2}$ in this case