Question
Bahasa Melayu
Jadual 1 menunjukkan beberapa nilai $x$ dan nilai $y$ yang sepadan bagi persamaan $y = 4\cos 2x - 1$, dengan keadaan semua nilai $x$ adalah dalam darjah.
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Dengan menggunakan nilai-nilai ini, graf $y = 4\cos 2x - 1$ dilukis untuk $0^\circ \le x \le 180^\circ$. Garis lurus $y = 1$ dilukis pada paksi yang sama dan ia memotong graf itu pada dua titik. Cari beza, dalam darjah, antara koordinat-$x$ bagi kedua-dua titik itu.
```
x 0 22.5 45 67.5 90 112.5 135 157.5 180
y 3 1.83 -1 -3.83 -5 -3.83 -1 1.83 3
```Dengan menggunakan nilai-nilai ini, graf $y = 4\cos 2x - 1$ dilukis untuk $0^\circ \le x \le 180^\circ$. Garis lurus $y = 1$ dilukis pada paksi yang sama dan ia memotong graf itu pada dua titik. Cari beza, dalam darjah, antara koordinat-$x$ bagi kedua-dua titik itu.
English
Table 1 shows some values of $x$ and the corresponding values of $y$ for the equation $y = 4\cos 2x - 1$, where all the values of $x$ are in degrees.
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Using these values, the graph of $y = 4\cos 2x - 1$ is drawn for $0^\circ \le x \le 180^\circ$. The straight line $y = 1$ is drawn on the same axes and it cuts the graph at two points. Find the difference, in degrees, between the $x$-coordinates of these two points.
```
x 0 22.5 45 67.5 90 112.5 135 157.5 180
y 3 1.83 -1 -3.83 -5 -3.83 -1 1.83 3
```Using these values, the graph of $y = 4\cos 2x - 1$ is drawn for $0^\circ \le x \le 180^\circ$. The straight line $y = 1$ is drawn on the same axes and it cuts the graph at two points. Find the difference, in degrees, between the $x$-coordinates of these two points.
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Modelled on SBP trial · Kertas 1 · Q10(b)
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Modelled on SBP trial · Kertas 1 · Q10(b)
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