Question 1201169
sin2x / cosx = 2
multiply both sides of the equation by cosx to get:
sin2x = 2cosx
sin2x = 2sinxcosx, therefore:
2sinxcosx = 2cosx
divide both sidee of the equation by 2cosx to get:
sinx = 1
this occures when x = 90 degrees or 270 degrees.
90 degrees * pi/180 = pi/2
270 degrees * pi/180 =  3pi/2
therefore, this occurs when x = 90 or 270 degrees, and it occurs when x = pi/2 or 3pi/2.
here's a graph that shows when y = sin(2x) and when y = 2cos(x).
the interesection is when sin(2x) = 2cos(x)
<img src = "http://theo.x10hosting.com/2023/032301.jpg">