Trigonometric Ratios and Pythagoras' Theorem Summary

Trigonometric Ratios

Summary

the theorem of pythagoras is an equation connecting the longest side of a right-angled triangle (called the hypotenuse) with the other two sides.

it can be used to find the length of one side of a right-angled triangle given the other two sides.

trigonometry is concerned with the measurement and calculation of the lengths of sides and the sizes of angles of triangles.

there are three basic trigonometric ratios called the sine, the cosine and the tangent of the angle.

Key Skills

  • find the longest side of a right-angled triangle given the two short sides.
  • find the length of one of the short sides given the other two sides.
  • apply the trigonometric ratios to find the lengths of sides and the size of angles in right-angled triangles.
  • use pythagoras' theorem and trigonometric ratios to solve problems, including those involving cuboids and pyramids.

Vocabulary

trigonometrytrigonometric ratiossinecosinetangent, right angle, opposite sideadjacent sidehypotenuse, pythagoras' theorem