<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">Write down the principal value of \(\sin^{-1} \left( -\frac{1}{2} \right)\) in radian as a multiple of \(\pi\).</span><span class="inline-marks">[1]</span></div></li><li><div class="content-block list-item-image" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/public/question-images/pasted/1768299348495-pkvrgsewu5.png" alt="List item image" class="aligncenter custom-width" style="max-width: min(400px, 100%); height: auto;" /></div><div class="list-item-paragraph">The diagram shows the curve \(y = a \sin bx + c\) for \(0 \le x \le \pi\) radians. The curve has a maximum point at \(\left( \frac{\pi}{4}, 3 \right)\) and a minimum point at \(\left( \frac{3\pi}{4}, -7 \right)\).</div><ol class="i-list"><li><div class="list-item-paragraph">Explain why \(c = -2\).<span class="inline-marks">[2]</span></div></li><li><div class="list-item-paragraph">Explain why \(b = 2\).<span class="inline-marks">[2]</span></div></li><li><div class="list-item-paragraph">Hence find the equation of the curve.<span class="inline-marks">[2]</span></div></li></ol></li></ol>

Write down the principal value of \(\sin^{-1} \left( -\frac{1}{2} \right)\) in radian as a multiple of \(\pi\).

The diagram shows the curve \(y = a \sin bx + c\) for \(0 \le x \le \pi\) radians. The curve has a maximum point at \(\left( \frac{\pi}{4}, 3 \right)\) and a minimum point at \(\left( \frac{3\pi}{4}, -7 \right)\).

2023 Ahmad Ibrahim Sec AM S3 EOY Q5

2023 Ahmad Ibrahim Sec AM S3 EOY Q5

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