Trigonometry - beginner

This lesson comprises two (2) master classes focusing on:

• Introducing the trigonometric ratios
• Trigonometric notation
• Solving problems involving angles of elevation/depression
• Solving problems involving bearings

Content:

MA5-TRG-C-01

Demonstrate and explain the constancy of trigonometric ratios for a given angle in right-angled triangles

• Identify and label the hypotenuse, adjacent and opposite sides with respect to a given angle in a right-angled triangle in any orientation
• Define the sine, cosine and tangent ratios for angles in right-angled triangles and use trigonometric notation \( \sin \theta , \cos \theta , \tan \theta \)
• Identify the sine, cosine and tangent ratios in a right-angled triangle
• Verify the constancy of the sine, cosine and tangent ratios for a given angle by applying knowledge of similar right-angled triangles
• Find approximations of the trigonometric ratios for a given angle
• Find the size of an angle given one of the trigonometric ratios for the angle using digital tools

Apply trigonometry to solve right-angled triangle problems

• Apply trigonometry to find the lengths of unknown sides in right-angled triangles with a given angle including angles in degrees and minutes
• Apply trigonometry to find the size of unknown angles in right-angled triangles including in degrees and minutes
• Solve a variety of practical problems involving trigonometric ratios in right-angled triangles

MA5-TRG-C-02

Solve right-angled triangle problems involving angles of elevation and depression

• Identify and describe angles of elevation and depression
• Solve practical problems involving angles of elevation and depression

Solve right-angled triangle problems involving bearings

• Identify and interpret true bearings and compass bearings
• Explain the difference between true bearings and compass bearings and convert between them
• Solve practical problems involving bearings