1.3: Trigonometric curves and enclosed areas
(a) Using a formula from page 2, show that
(3)
Figure 2 shows a sketch of part of the curves with equations
The points , and shown in Figure 2 are three points that are common to both curves.
(b) Find the coordinates of each of these points.
(4)
and , shown shaded in Figure 2, are two regions enclosed by the two curves.
(c) Use calculus to find, in its simplest form, the ratio
(8)