What is the y-value of the point of intersection of y=2sinx-cosx and y=cosx over the interval 0≤x≤pi/2 ? a. 0 b. (square root of 2)/2 c. (square root of 3)/2 d. 1
Accepted Solution
A:
we have that
y=2sinx-cosx y=cosx over the interval 0≤x≤pi/2-------> 0≤x≤1.57
using a graph tool see the attached figure
the solution in the given interval is the point (pi/4, 0.707) the y-value of the point of intersection is 0.707 -----> √2/2