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Trigometric Ratios Math Review and Tutorial

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Introduction to Trig Ratios

We can use Pythagoras' Theorem to calculate the length of an unknown side in a right-angled triangle when we are given information about the lengths of 2 other sides.
However, if we are given information about an angle (other than the 90 degrees) and one side and need to calculate the length of another side then we use the trig ratios.

 

Labelling the sides of a right-angled triangle.

We already know the side opposite the right-angle is called the hypotenuse.  We label the other 2 sides according to their position relative to the known angle.

Trigometric ratios - labelling a triangle

 

The trigonometric ratios.

The 3 trigonometric ratios are called sine (sin), cosine (cos) and tangent (tan).  These ratios apply to right-angled triangles.

Trig ratios - sin, cos, tan

Trig ratios - worked example

 

Trigonometry problems for you to try.  

Trig ratios - problems

 

 

Solutions : 1) a) 0.4 (1dp)     b)  0.9 (1dp)     c)  2.4 (1dp)
2) a)  0.6     b)  0.8     c)  0.75