Moderate -0.8 This is a straightforward question requiring a standard sketch of sine and solving a basic trigonometric equation using calculator + symmetry. It's routine C2 material with no problem-solving required—just recall of the sine curve shape and the CAST diagram method for finding two solutions.
Sketch the graph of \(y = \sin x\) for \(0° \leqslant x \leqslant 360°\).
Solve the equation \(\sin x = -0.2\) for \(0° \leqslant x \leqslant 360°\). [4]
Question 9:
9 | At least 1 period of sine curve
Sine curve from 0 to 360
191.537 rot to 3 or more sf
348.463 rot to 3 or more sf | G1
G1
B1
B1 | ±1indicated
After B1 B1, -1 for extras in the range
SC1 for 192.8 and 347.2 (grads)
SC1 for 180.2 and 359.8 (radians) | 4
Sketch the graph of $y = \sin x$ for $0° \leqslant x \leqslant 360°$.
Solve the equation $\sin x = -0.2$ for $0° \leqslant x \leqslant 360°$. [4]
\hfill \mbox{\textit{OCR MEI C2 Q9 [4]}}