Answer to Question #225656 in Mechanics | Relativity for Adib

Question

1.Sketch in the interval -2π<_ x 2π, the graph of y= - 2secx+1. Hence deduce the range of values of k for which the equation -2secx+1= k has no solution
2.Sketch the graph of y = 2arcsinx-π/2, showing clearly the exact coordinates of the end-points of the curve and the eaxct coordinates of the point where the curve crosses the x-axis

Answer 1

1)

$k\in (-1;3).$

2)