Pi, Sin, Cos and Tan
Here’s a summary of ratios – circumference divided by diameter and sin, cos and tan in right-angled triangles. Grassroots math for all junior students. OK, let’s get into it:
Here’s a summary of ratios – circumference divided by diameter and sin, cos and tan in right-angled triangles. Grassroots math for all junior students. OK, let’s get into it:
Some time ago, H3 picked up a repair manual used by the Army when working on vehicles that had broken down. We expected a complex, technical manual but were really surprised at the simple layout. For example, when faced with a vehicle that won’t start, there are just two possible faults – no fuel or […]
Sine, Cosine and Tangent are the three main trigonometric or Trig Ratios. Before we look at these in more detail, where did these strange terms come from? Trigonometric functions were studied by Hipparchus of Nicaea (180–125 BC), Ptolemy of Egypt (90–165 AD), Aryabhata (476–550), Varahamihira, Brahmagupta, Ulugh Beg and others (14th century). The word “sine” […]
Look at the following equations and see if you can find the mathematical pattern; Sin 30 = 0.5 Cos 60 = 0.5 Sin 60 = 0.866 Cos 30 = 0.866 Sin 0 = 0 Cos 90 = 0 Sin 45 = 0.707 Cos 45 = 0.707 Sin 80 = 0.985 Cos 10 = 0.985 […]
If you look at a scientific calculator you will notice that there are three unusual buttons labelled “Sin”, “Cos” and “Tan”. These are the 3 Trig Ratios, used to find the length of sides on a right-angled triangle (like the one below). I have found, from years of teaching, that it is easiest to remember […]