Pythagoras and Trigonometry

  • Investigate Pythagoras’ Theorem and its application to solving simple problems involving right angled triangles (VCMMG318)

  • Use similarity to investigate the constancy of the sine, cosine and tangent ratios for a given angle in right-angled triangles (VCMMG319)

  • Apply trigonometry to solve right-angled triangle problems (VCMMG320)

  • Solve right-angled triangle problems including those involving direction and angles of elevation and depression (VCMMG346)

  • Establish the sine, cosine and area rules for any triangle and solve related problems (VCMMG367)

  • Use the unit circle to define trigonometric functions as functions of a real variable, and graph them with and without the use of digital technologies (VCMMG368)

  • Solve simple trigonometric equations (VCMMG369)

  • Apply Pythagoras’ theorem and trigonometry to solving three-dimensional problems in right-angled triangles (VCMMG370)