Questions

• More About Trigonometry Solve the trigonometric equations a sin θ = b, a cos θ = b, a tan θ = b (0° to 360°) and other equations Understand the functions sine, cosine, and tangent, their graphs and properties

  當 $0^{\circ} \leq x<360^{\circ}$ 時，方程式 $\sin ^{2} x=6 \cos ^{2} x$ 有幾個解？

  2022

• More About Trigonometry Understand the functions sine, cosine, and tangent, their graphs and properties Solve the trigonometric equations a sin θ = b, a cos θ = b, a tan θ = b (0° to 360°) and other equations

  在圖中，$\theta$ 和 $\phi$ 是銳角。如果 $BC=m$ 且 $CD=n$，則 $AB=$

  2024

• More About Trigonometry Understand the functions sine, cosine, and tangent, their graphs and properties Solve the trigonometric equations a sin θ = b, a cos θ = b, a tan θ = b (0° to 360°) and other equations

  在圖中，$A B C D E F G H$ 是一個立方體。如果 $F M$ 和 $F N$ 分別平分 $C D$ 和 $H E$，找出 $\theta$ 的值，精確到最接近的度數。

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• More About Trigonometry Understand the functions sine, cosine, and tangent, their graphs and properties Solve the trigonometric equations a sin θ = b, a cos θ = b, a tan θ = b (0° to 360°) and other equations

  在圖中，$A, B, C$ 和 $D$ 四點共圓。$A E D$ 是一條直線。如果 $B E \perp A D$ 且 $\angle A D B=30^{\circ}$，則 $\frac{A D}{A E}=$多少？

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• More About Trigonometry Understand the functions sine, cosine, and tangent, their graphs and properties Solve the trigonometric equations a sin θ = b, a cos θ = b, a tan θ = b (0° to 360°) and other equations

  在圖中，$A B C D$ 是一個半圓。已知 $A C=24 \mathrm{~cm}$ 和 $C D=10 \mathrm{~cm}$。求片段 $A B C$ 的面積，結果四捨五入到最接近的 $\mathrm{cm}^{2}$。

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• More About Trigonometry Understand the angle between a line and a plane, and the angle between 2 planes Solve related 2-dimensional and 3-dimensional problems

  圖中顯示一個長方體 $A B C D E F G H$，其中 $M$ 把 $C D$ 二等分。已知 $A B=10, B C=6$ 且 $B G=7$。如果線 $M H$ 與平面 $E F G H$ 之間的角為 $\theta$，則 $\tan \theta=$

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• Trigonometric Ratios and Using Trigonometry explore the properties and relations of trigonometric ratios apply trigonometric ratios to find measures of 2-D figures

  在圖中，$A C D F$、$B I J K$ 和 $E G H J$ 是正方形。已知 $E J C$ 是一條直線。如果 $K J=3$ 且 $J E=8$，那麼 $C D=$多少？

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• Trigonometric Ratios and Using Trigonometry apply trigonometric ratios to find measures of 2-D figures introduce the ideas of bearing, gradient, angle of elevation, angle of depression and solve related 2-dimensional problems

  一個男孩從檢查點$A$走到檢查點$B$，方向是$\mathrm{S} 62^{\circ} \mathrm{E}$，走了$800 \mathrm{~m}$，然後左轉$90^{\circ}$走了$800 \mathrm{~m}$到達檢查點$C$。然後他向正北方向走了$200 \mathrm{~m}$到達檢查點$D$。從$A$點到$D$點的方位角是

  2024

• Trigonometric Ratios and Using Trigonometry explore the properties and relations of trigonometric ratios apply trigonometric ratios to find measures of 2-D figures

  對於 $0^{\circ} \leq \theta \leq 360^{\circ}$，方程式 $3(1-\sin \theta)=\frac{2 \sin \left(270^{\circ}+\theta\right)}{1+\sin \theta}$ 有幾個根？

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• Trigonometric Ratios and Using Trigonometry explore the properties and relations of trigonometric ratios apply trigonometric ratios to find measures of 2-D figures

  在圖中，假設直角$\triangle O P B$的重心位於$P A$上。如果$P$是在$O C$上的一個移動點，那麼當$\angle A P B$最大時，$\sin \angle A P B=$

  2024