2.2: Cosine curve properties and graph equation

0606/21/M/J/17 — Question 4 · 6 marks

2.2 diagram
(a)(i)
Given that y=7cos10x3y = 7\cos 10x - 3, where the angle xx is measured in degrees, state the period of yy.
[1]
(a)(ii)
State the amplitude of yy.
[1]
(b)
Find the equation of the curve shown, in the form y=ag(bx)+cy = a\,g(bx) + c, where g(x)g(x) is a trigonometric function and aa, bb and cc are integers to be found.
[4]