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mathematicsprinted 106 Β· PDF 107
165 pagesrevision 46935
printed 106 Β· PDF 107
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106
calculated. The only function relating the opposite and the hypotenuse is sin.
Plug in the values in the formula. Use your calculator to find the value of
sin(30) and then find AC.
In this example, 2 sides are given and angle needs to be found. Start off by
labeling the sides with respect to ΞΈ. The 2 known sides are opposite and
adjacent. The only function relating opposite and adjacent is tan. To find the
value of ΞΈ from π‘ππ(π) = 1.4 you need to make use of inverse functions. Think
of it as βmovingβ the tan from one side of the equation to the other and in the
process, the tan becomes π‘ππβ1 (tan inverse). The equation will now be π=
π‘ππβ1(1.4). Press shift and the tan button on your calculator to get to the tan
inverse from where the value of ΞΈ can be found. The inverse method works
with all 3 functions.
Sine Rule
The sine rule is different from the trigonometric function sin but it incorporates
the sin function. It used to find missing sides and angles in non-right angled
triangles.
π ππ(π)
π΄
=
π ππ(π)
π΅
π΄ and π΅ are sides and π and π are angles. It is important to note that the angle
π must be opposite of the side π΄ and the same case with side π΅ and angle π.