Consider the trigonometric equation sinx=21.
a. (i) Determine all values of x that satisfy the equation in the interval 0≤x<2π.
b. (ii) Write the general solution of the equation for all real x.
c. (iii) Explain, using the periodic nature and quadrant–wise sign of the sine function, why the expression obtained in part (ii) lists every possible real solution of the equation.