Trigonometry: Sine. Cosine. Tangent.

Rules for calculating Sine, Cosine or Tangent.
There are three different formulae that you should revise and memorise. These are the formulae for Sine, Cosine and Tangent of an angle in a Right Angled Triangle. There are other formulae that you will need to know for triangles that aren't Right Angled Triangles in other worksheets for this chapter.[br][br]First, let's take a look again at a Right Angled Triangle but with a different set of labels for each of the sides:
Calculating unknown values.
When presented with a Right Angled Triangle with missing value for a side or an angle, you can calculate those missing values with the following three formulae:[br][br] [math]Sin\left(\theta\right)=\frac{Opposite\left(O\right)}{Hypotenuse\left(H\right)}[/math][br][br] [math]Cos\left(\theta\right)=\frac{Adjacent\left(A\right)}{Hypotenuse\left(H\right)}[/math][br][br] [math]Tan\left(\theta\right)=\frac{Opposite\left(O\right)}{Adjacent\left(A\right)}[/math][br][br]You will use the Sine, Cosine or Tangent of the missing angle depending on which values you have (or don't have) for the Right Angled Triangle.[br]Use the [b]Formula for Sine [/b]if you know only the values for the Opposite ([b]O[/b]) and the Hypotenuse ([b]H[/b]) sides.[br]Use the [b]Formula for Cosine[/b] if you know only the values for the Adjacent ([b]A[/b])and the Hypotenuse ([b]H[/b]) sides.[br]Use the [b]Formula for Tangent[/b] if you know only the values for the Opposite ([b]O[/b]) and the Adjacent ([b]A[/b]) sides.[br][br]You can transpose the above formulae to calculate the values of a missing side (in a Right Angled Triangle) if you know the angle and at least one other side:[br][br][math]Hypotenuse\left(H\right)=\frac{Opposite\left(O\right)}{Sin\left(\theta\right)}[/math] or [math]Opposite\left(O\right)=Hypotenuse\left(H\right)\times Sin\left(\theta\right)[/math][br][br][math]Hypotenuse\left(H\right)=\frac{Adjacent\left(A\right)}{Cos\left(\theta\right)}[/math] or [math]Adjacent\left(A\right)=Hypotenuse\left(H\right)\times Cos\left(\theta\right)[/math][br][br][math]Adjacent\left(A\right)=\frac{Opposite\left(O\right)}{Tan\left(\theta\right)}[/math] or [math]Opposite\left(O\right)=Adjacent\left(A\right)\times Tan\left(\theta\right)[/math][br][br]There is a lot to remember here but there are a couple of different ways to memorise the above formulae. My personal favourite is the mantra of SOHCAHTOA (pronounced  [i]soh-kahr-toh-er[/i]). However, some teachers like to show students the pyramids for the above: [br][br][img]data:image/png;base64,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[/img][br]Covering the value that you don't know will give you the formula for calculating it.[br][br]

Information: Trigonometry: Sine. Cosine. Tangent.