第 1 題
1 分In triangle \( ABC \), side length \( AB = 7 \text{ cm} \), side length \( AC = 10 \text{ cm} \), and angle \( BAC = 150^\circ \). Calculate the area of the triangle.
Pearson Edexcel International A Level · Mathematics (YMA01)
三角學：練習題
3 條多項選擇題即時批改，另有 4 條文字題附完整解題步驟，全部圍繞「三角學」。
7 條題目19 分免費，無需登記
第 2 題
1 分A sector of a circle has a radius of \( 6 \text{ cm} \) and an arc length of \( 4 \text{ cm} \). Find the area of the sector.
第 3 題
1 分Find all the solutions to the equation \( \sin 2\theta = \cos \theta \) in the interval \( 0 \le \theta < 2\pi \).
第 4 題
3 分In triangle \( ABC \), the length of side \( AB = 7 \text{ cm} \), the length of side \( BC = 12 \text{ cm} \), and the size of angle \( ABC = 40^\circ \).
Calculate the area of triangle \( ABC \) in \( \text{cm}^2 \), giving your answer to 3 significant figures.
先自己寫一次答案，再對照解題步驟。
第 5 題
6 分Solve the equation \( 6\cos^2 x + \sin x - 5 = 0 \) for the interval \( 0 \le x < 360^\circ \).
Give your answers to the nearest degree.
先自己寫一次答案，再對照解題步驟。
第 6 題
3 分In triangle \( ABC \), the length of side \( AB = 8 \text{ cm} \), the length of side \( AC = 11 \text{ cm} \) and the angle \( BAC = 35^\circ \).
(a) Calculate the length of the side \( BC \), giving your answer to 3 significant figures.
(b) Find the area of triangle \( ABC \), giving your answer to 2 decimal places.
先自己寫一次答案，再對照解題步驟。
第 7 題
4 分Solve, for \( 0 \le \theta < 360^\circ \), the equation
\( 4 \cos^2 \theta + 7 \sin \theta - 2 = 0 \)
Give your answers to one decimal place where appropriate.
先自己寫一次答案，再對照解題步驟。
* thinka提供的內容由AI生成，可能並非總是準確或最新。請將其用作輔助資源，並與官方材料進行核實。
想多做幾條同類題目？立即開始練習呢個課題，即做即批改。
立即練習