Higher November 2023 Paper 1 Q19
19 Here is the graph of \(y = \sin x^\circ\) for \(-180 \leqslant x \leqslant 180\)
(a) Use the graph to find estimates for the solutions of
\(\sin x^\circ = 0.3\) for \(-180 \leqslant x \leqslant 180\) (2)
\(\sin x^\circ = 0.3\) for \(-180 \leqslant x \leqslant 180\) (2)
(b) Write down a value of \(x\) such that
\(\sin(x + 20)^\circ = 0\) for \(-180 \leqslant x \leqslant 180\) (1)
\(\sin(x + 20)^\circ = 0\) for \(-180 \leqslant x \leqslant 180\) (1)
| Answer | Mark | Mark scheme |
|---|---|---|
| 18 and 162 | M1 | for a correct method, eg line drawn at 0.3 to sine curve or point(s) marked on sine curve or for one correct value |
| A1 | for answers in the range 15 to 18 and 162 to 165 and no incorrect values |
| Answer | Mark | Mark scheme |
|---|---|---|
| \(-20\) or 160 | B1 | cao |