Space, shape and measurement: Solve problems by constructing and interpreting trigonometric models

• Define and use the following trigonometric functions: [latex]\scriptsize \cos \theta[/latex], [latex]\scriptsize \sin \theta[/latex], [latex]\scriptsize \tan \theta[/latex].
• Calculate trigonometric ratios in each of the quadrants where one ratio in that quadrant is given.
  • Example: If [latex]\scriptsize \sin \theta =\displaystyle \frac{3}{5}[/latex] and [latex]\scriptsize 90{}^\circ \le \theta \le 180{}^\circ[/latex] determine [latex]\scriptsize \cos \theta[/latex].
• Solve problems in two dimensions using the trigonometric ratios [latex]\scriptsize \cos \theta[/latex], [latex]\scriptsize \sin \theta[/latex], [latex]\scriptsize \tan \theta[/latex].
• Express an appreciation of the contribution to the history of the development and the use of geometry and trigonometry by various cultures (NOT EXAMINABLE).

By the end of this unit you will be able to:

• Define and use the trigonometric ratios of [latex]\scriptsize \cos \theta[/latex], [latex]\scriptsize \sin \theta[/latex] and [latex]\scriptsize \tan \theta[/latex].
• Calculate the trigonometric ratios in each quadrant of the Cartesian plane.
• Calculate the value of expressions containing trigonometric ratios.

By the end of this unit you will be able to:

• Use a calculator to calculate the value of the three basic trig ratios for different angles.
• Solve problems in two dimensions (2D) using the trigonometric ratios [latex]\scriptsize \cos \theta[/latex], [latex]\scriptsize \sin \theta[/latex], [latex]\scriptsize \tan \theta[/latex].