Question 4 The curves y = 27 cos x and x = $7 cosy intersect at the three points (0, }7), (a, b), (7, 0),
Question 4 The curves y = 27 cos x and x = $7 cosy intersect at the three points (0, }7), (a, b), (7, 0), as shown in the figure below. 7/2 (a,b) X TC/2 (a) Explain why a = b = $1cosb. z qwsa (b) Show that 7 sinb = VT2 - 462. (c) Show that the area of the shaded region is VT2 - 462 - 62
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