(a) Sketch the curve \(y = \sin x\), for values of \(x\) in the range \(x\) = 0° to \(x\) = 360°. [1]
(b) Solve each of the following equations. Give all answers in the range \(x\) = 0° to \(x\) = 360°.
(i) \(\sin x = 0{\cdot}3\) [2]
(ii) \(\sin x + 1 = 0\) [1]
Mark scheme (a)
Scheme
Marks
Comments
C1
Clear Intention to draw a curve. Curve must pass through (0,0), (180,0) and (360,0) AND intention to have maximum at (90,1) and minimum at (270,-1). Ignore curve shown for values x < 0° or x > 360°.
Mark scheme (b)
Scheme
Marks
Comments
(i) 17 AND 163 OR 17.5 AND 162.5 OR 17.4(576…) AND 162.5(423…)
B2
If more than two answers offered award B1 for sight of one correct angle. Allow embedded answers.
Rounded angles must add up to 180°.
B1 for sight of one correct angle OR, B1 for two angles which total 180°. Allow different degrees of accuracy in rounding.
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