The graph shows part of the curve with equation y=4sinx∘y = 4 \sin x^\circy=4sinx∘
The point P P\,P is a maximum point on the curve with a a\,a being the smallest negative value of x x\,x that a maximum occurs.
a.[1]
State the value of a a\,a and the value of bbb.
b.[2]
State the coordinates of the point to which P P\,P is mapped by the transformation which transforms the curve with equation y=4sinx∘y = 4 \sin x^\circy=4sinx∘ to the curve with equation
(i) y=4sin(x+28)y = 4 \sin (x + 28)y=4sin(x+28)
(ii) y=4sin(3x)y = 4 \sin (3x)y=4sin(3x)
c.[5]
Solve, for 360≤θ<720∘360 \leq \theta < 720^\circ360≤θ<720∘,
4sinθ=tanθ 4 \sin \theta = \tan \theta 4sinθ=tanθGive your answers to one decimal place where appropriate.