Questions

• 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，$D$ 是位於 $AC$ 上的一點，使得 $BD$ 垂直於 $AC$。如果 $BC=\ell$，則 $AB=$

  

  2012

• 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

  $\frac{\cos 60^{\circ}}{1-\cos \left(90^{\circ}-\theta\right)}+\frac{\cos 240^{\circ}}{1-\cos \left(270^{\circ}-\theta\right)}=$ x

  2012

• 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

  在圖中，$P$點從$O$點的方位角是$S86^{\circ}E$，$Q$點從$O$點的方位角是$N32^{\circ}E$。如果$P$和$Q$點與$O$點的距離相等，那麼$P$點從$Q$點的方位角是什麼？

  

  2013

• 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$\triangle ABC$中，$AB:BC:AC=8:15:17$。求$\cos A:\cos C$。

  2013

• 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

  如果 $0^{\circ}<x<90^{\circ}$，以下哪一項必定為真？ I. $\quad \tan x \tan \left(90^{\circ}-x\right)=1$ II. $\quad \sin x-\sin \left(90^{\circ}-x\right)<0$ III. $\cos x+\cos \left(90^{\circ}-x\right)>0$

  2013

• 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，$\angle ABD=\angle ADC=\angle BCD=90^{\circ}$。若$AB=\ell$，則$CD=$

  

  2014

• 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

  $\left(\cos \left(90^{\circ}+\theta\right)+1\right)\left(\sin \left(360^{\circ}-\theta\right)-1\right)=$

  2014

• 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 $0^{\circ} \leq x \leq 360^{\circ}$ 時，方程式 $7 \sin ^{2} x=\sin x$ 有多少個根？

  2014

• 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, $\frac{A D}{A B}=$

  

  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

  $\frac{\cos 180^{\circ}}{1+\sin \left(90^{\circ}+\theta\right)}+\frac{\cos 360^{\circ}}{1+\sin \left(270^{\circ}+\theta\right)}=$

  2015