Paper 1 May/June 2006 MATHEMATICH (9709/1) A Levels
لطفا برای اطمینان از عملکرد و تجربه بهتر از مرورگرهای مدرن و به روز مانند کروم یا فایرفاکس استفاده کنید.

a) Sketch, on the same diagram, the graphs of $y = \sin x$ and $y = \cos {\text{ }}2x$ for ${0^ \circ } \leqslant x \leqslant {180^ \circ }$.
b) Verify that $x = {30^ \circ }$ is a root of the equation $\sin x = \cos 2x$, and state the other root of this equatio for which ${0^ \circ } \leqslant x \leqslant {180^ \circ }$.
c) Hence state the set of values of $x$, for ${0^ \circ } \leqslant x \leqslant {180^ \circ }$, for which $\sin x \lt \cos 2x$.