A very easy one
Geometry
Level
1
Find the number values of x that satisfies the equation sin x +cos x=2 if x€[0,360 degrees)
infinite
2
0
1
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1 solution
for this condition to be satisfied, both sin x and cos x has to attain its maximum value which is equal to 1
thus sin x = 1 at x= 90 and 270 degrees
and cos x = 1 at x= 0 and 360 degrees
hence there is no common solution for x