<text><span class="style10">athematics and its Applications (3 of 4)</span><span class="style7">These ratios are given names. For example, the sine of an angle is the ratio of the side opposite the given angle to the hypotenuse. The Greek letters (</span><span class="style26">theta</span><span class="style7">) and (</span><span class="style26">phi</span><span class="style7">) are usually used to denote the angles; thus in the triangle shown we say that the sine of , usually written sin , is BC/AC. Similarly, since the </span><span class="style26">cosine</span><span class="style7"> (cos) of the angle is the ratio of the side adjacent to the given angle to the hypotenuse, cos is AB/AC. The third basic ratio is the </span><span class="style26">tangent</span><span class="style7"> (tan), which is the ratio of the opposite to the adjacent side, BC/AB in the example; it is easy to see that tan must always equal sin / cos . Pythagoras' theorem can be used to establish some very useful values for sin, cos and tan.</span></text>
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<text>ΓÇó ASTRONOMYΓÇó PHYSICSΓÇó CHEMISTRYΓÇó THE HISTORY OF SCIENCE</text>