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+ <text style="stroke:none" transform="scale(1,-1) translate(11.02254pt,0pt)" text-anchor="middle" font-size="10">
+ sin<tspan font-family="cmmi" font-size="10"><img
+src="cmmi10-b.gif" alt="a" class="10x-x-b" /></tspan></text>
+</g>
+ </g>
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+ <g>
+ <g stroke-width="1.2pt">
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+ <g fill="rgb(0.0%,0.0%,100.0%)">
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+ <g>
+ <g fill="rgb(100.0%,100.0%,100.0%)">
+ <g>
+ <g fill="rgb(100.0%,100.0%,100.0%)">
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+ <g>
+ <g transform="matrix(1.0,0.0,0.0,1.0,25.38316,-10.23851)">
+ <g fill="rgb(0.0%,0.0%,100.0%)">
+ <text style="stroke:none" transform="scale(1,-1) translate(11.5781pt,0pt)" text-anchor="middle" font-size="10">
+ cos <tspan font-family="cmmi" font-size="10"><img
+src="cmmi10-b.gif" alt="a" class="10x-x-b" /></tspan></text>
+</g>
+ </g>
+ </g>
+ </g>
+ </g>
+ </g>
+ </g>
+ </g>
+ </g>
+ <g>
+ <g stroke-width="1.2pt">
+ <g stroke="rgb(80.0003%,39.99939%,0.0%)">
+ <g fill="rgb(80.0003%,39.99939%,0.0%)">
+ <path d=" M 85.35823 0.0 L 85.37032 49.28746 " style="fill:none"/>
+ <g>
+ <g fill="rgb(100.0%,100.0%,100.0%)">
+ <g>
+ <g fill="rgb(100.0%,100.0%,100.0%)">
+ <path d=" M 86.96426 11.15915 h 68.1005 v 26.96912 h -68.1005 Z " style="stroke:none"/>
+ </g>
+ </g>
+ <g>
+ <g transform="matrix(1.0,0.0,0.0,1.0,90.29724,21.35162)">
+ <g fill="rgb(80.0003%,39.99939%,0.0%)">
+ <text style="stroke:none" transform="scale(1,-1) translate(30.71727pt,0pt)" text-anchor="middle" font-size="10">
+ tan <tspan font-family="cmmi" font-size="10"><img
+src="cmmi10-b.gif" alt="a" class="10x-x-b" /></tspan> = <img
+src="pgfmanual3x.gif" alt="sina
+cosa-" class="frac" align="middle"></text>
+</g>
+ </g>
+ </g>
+ </g>
+ </g>
+ <g>
+ </g>
+ </g>
+ </g>
+ </g>
+ </g>
+ <path d=" M 0.0 0.0 L 85.36116 49.28215 " style="fill:none"/>
+ <path d=" " style="fill:none"/>
+ <g>
+ <g fill="rgb(100.0%,89.99939%,89.99939%)">
+ <g>
+ <g fill="rgb(100.0%,89.99939%,89.99939%)">
+ <path d=" M 333.44092 63.50197 L 162.11331 63.50197 C 159.89334 63.50197 158.11331 61.72194 158.11331 59.50197 L 158.11331 -59.50197 C 158.11331 -61.72194 159.89334 -63.50197 162.11331 -63.50197 L 333.44092 -63.50197 C 335.66089 -63.50197 337.44092 -61.72194 337.44092 -59.50197 L 337.44092 59.50197 C 337.44092 61.72194 335.66089 63.50197 333.44092 63.50197 Z M 158.11331 54.89088 " style="stroke:none"/>
+ </g>
+ </g>
+ <g>
+ <g transform="matrix(1.0,0.0,0.0,1.0,162.41885,59.19643)">
+ <g fill="rgb(0.0%,0.0%,0.0%)">
+ <text style="stroke:none" transform="scale(1,-1) translate(85.35826pt,0pt)" text-anchor="middle" font-size="10">
+<!--l. 92--><p class="noindent">The angle <tspan font-family="cmmi" font-size="10"><img
+src="cmmi10-b.gif" alt="a" class="10x-x-b" /></tspan> is 30<tspan baseline-shift="sub"><tspan font-family="cmsy" font-size="7"><span class="htf-cmbx">o</span></tspan>
+ </tspan> in the example
+(<tspan font-family="cmmi" font-size="10"><img
+src="cmmi10-19.gif" alt="p" class="10x-x-19" />/</tspan>6 in radians). The sine of <tspan font-family="cmmi" font-size="10"><img
+src="cmmi10-b.gif" alt="a" class="10x-x-b" /></tspan>,
+which is the height of the red line,
+is sin<tspan font-family="cmmi" font-size="10"><img
+src="cmmi10-b.gif" alt="a" class="10x-x-b" /></tspan> = 1<tspan font-family="cmmi" font-size="10">/</tspan>2<tspan font-family="cmmi" font-size="10">. </tspan>By the Theorem of
+Pythagoras we have cos<tspan baseline-shift="sub"><tspan font-family="cmr" font-size="7">2</tspan></tspan><tspan font-family="cmmi" font-size="10"><img
+src="cmmi10-b.gif" alt="a" class="10x-x-b" /></tspan>+sin<tspan baseline-shift="sub"><tspan font-family="cmr" font-size="7">2</tspan></tspan><tspan font-family="cmmi" font-size="10"><img
+src="cmmi10-b.gif" alt="a" class="10x-x-b" /></tspan> = 1.
+Thus the length of the blue line,
+which is the cosine of <tspan font-family="cmmi" font-size="10"><img
+src="cmmi10-b.gif" alt="a" class="10x-x-b" /></tspan>, must be
+cos<tspan font-family="cmmi" font-size="10"><img
+src="cmmi10-b.gif" alt="a" class="10x-x-b" /></tspan> = <img
+src="pgfmanual4x.gif" alt=" V~ 1---1/4" class="sqrt" > = <img
+src="pgfmanual5x.gif" alt="1
+2" class="frac" align="middle"><img
+src="pgfmanual6x.gif" alt=" V~ 3" class="sqrt" ><tspan font-family="cmmi" font-size="10">.</tspan>This shows
+that tan<tspan font-family="cmmi" font-size="10"><img
+src="cmmi10-b.gif" alt="a" class="10x-x-b" /></tspan>, which is the height of the
+orange line, is tan<tspan font-family="cmmi" font-size="10"><img
+src="cmmi10-b.gif" alt="a" class="10x-x-b" /></tspan> = <img
+src="pgfmanual7x.gif" alt="sina-
+cosa" class="frac" align="middle"> = 1<tspan font-family="cmmi" font-size="10">/</tspan><img
+src="pgfmanual8x.gif" alt=" V~ 3" class="sqrt" ><tspan font-family="cmmi" font-size="10">.</tspan></text>
+</g>
+ </g>
+ </g>
+ </g>
+ </g>
+ </g>
+ </g>
+ </g>
+ </g>
+
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+</svg>