Scottish school exams

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7. Find all the values of 8 between 0° and 360° which satisfy
the equation
cos 8 (2 — cos2 8) = 2 sin 28. (6)
8. It was suspected that the relationship between two quantities
x and y could be expressed in the form y = kxn, where k
and n are constants. From corresponding values of x and
y, log10y was plotted against log10x and a best-fitting straight
line was drawn through the points as shown in the accom¬
panying diagram. Show that the assumption was a reason¬
able one, and find k and n. (6)
Page three

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