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 $\cos^{2}x-\sin x=1$ 有幾個根？

  2015

• 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

  設 $k$ 為一正常數且 $-180^{\circ}<\theta<180^{\circ}$ 。若圖中所示為 $y=\sin \left(k x^{\circ}+\theta\right)$ 的圖像, 則

  

  2015

• More About Trigonometry Understand the concept of projection Solve related 2-dimensional and 3-dimensional problems

  圖中, $A D=$

  

  2016

• 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

  設 $a$ 及 $b$ 均為常數。若圖中所示為 $y=a \cos 2 x^{\circ}$ 的圖像, 則

  

  2016

• 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 $0^{\circ} \leq \theta \leq 360^{\circ}$ 時，方程式 $5 \sin ^{2} \theta+\sin \theta-4=0$ 有幾個解？

  2016

• 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

  圖中, $A B C D E F G H$ 為一長方體。 $A C$ 與 $B D$ 相交於 $P$ 。$Q$ 為 $C H$ 上的一點使得 $C Q=9 \mathrm{~cm}$及 $Q H=15 \mathrm{~cm}$ 。求 $\sin \angle P F Q$ 。

  

  2016

• 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

  圖中，$ABCD$ 為一長方形。若$E$為$CD$上的一點使得$\angle CBE=40^\circ$，求$\angle AED$準確至最接近的度。

  

  2017

• 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

  點 $P$ 、點 $Q$ 及點 $R$ 的極坐標分別為 $\left(3,160^{\circ}\right)$ 、 $\left(4,280^{\circ}\right)$ 及 $\left(6,340^{\circ}\right)$ 。由 $Q$ 至 $P R$ 的垂直距離為

  2017

• 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, $A D$ 為立於水平地面 $B C D$ 上的鉛垂柱。若 $A B=25 \mathrm{~m} 、 A D=15 \mathrm{~m} 、 B C=29 \mathrm{~m}$及 $C D=21 \mathrm{~m}$, 求 $A B$ 與平面 $A C D$ 間的交角準確至最接近的度。

  

  2017

• 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，$ABCD$ 為一梯形且 $\angle ABC=\angle BAD=90^{\circ}$。$E$ 及 $F$ 均為 $AB$ 上的點，使得 $E$ 與 $F$ 將 $AB$ 分成三等分。下列何者必為正確？ $\begin{array}{ll}\text{I.} & AF \sin \alpha = BE \sin \beta \\ \text{II.} & CE \cos \alpha = DF \cos \beta \\ \text{III.} & AD \tan \alpha = BC \tan \beta\end{array}$

  

  2018