ABSTRACT
At the end of this chapter, you should be able to:
• change radians to degrees and vice versa • calculate sine, cosine and tangent for large and small angles • calculate unknown sides of a right-angled triangle • use Pythagoras’ theorem • use the sine and cosine rules for acute-angled triangles • define a logarithm • state and use the laws of logarithms to simplify logarithmic expressions • solve equations involving logarithms • solve indicial equations • solve equations using Napierian logarithms • appreciate the many examples of laws of growth and decay in engineering and science • perform calculations involving the laws of growth and decay • understand rectangular axes, scales and co-ordinates • plot given co-ordinates and draw the best straight line graph • determine the gradient and vertical-axis intercept of a straight line graph • state the equation of a straight line graph • plot straight line graphs involving practical engineering examples • calculate the areas of common shapes • use the mid-ordinate rule to determine irregular areas
There are 2π radians or 360◦ in a complete circle, thus:
π radians= 180◦
1 rad= 180 ◦
π
where π = mal places!
