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An angle in standard position passes through the
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} } } } --> </script> </head> <body> <div> <p> <span style="font-weight:bold;font-size:12pt;font-family:'Times New Roman'">MCR 3U1Name:__________________</span> </p> <p style="text-align:center"> <span style="font-weight:bold;font-size:16pt;font-family:'Times New Roman'">Trigonometry Mid Chapter Quiz – Part 2</span> </p> <p style="text-align:center"> </p> <span></span><span style="font-size:12pt;font-family:'Times New Roman'">In right ∆ PQR, the hypotenuse , r, is 117 cm, and tan P = 0.5. Calculate side lengths p and q to the nearest centimetre and the missing interior angles to the nearest degree</span><span style="font-family:'Times New Roman'">.</span> <p class="list_paragraph" style="margin-left:396.000000pt" awml:style="List Paragraph"> <span style="font-family:'Times New Roman'">(5 marks)</span> </p> <p> </p> <p> </p> <p> </p> <p> </p> <p> </p> <p> </p> <p> </p> <p> </p> <p> </p> <p> </p> <p> </p> <p> </p> <p> </p> <p> <span style="font-size:12pt;font-family:'Times New Roman'">2.Determine the exact value of the trigonometric expression.(2 marks)</span> </p> <p> <span style="font-size:12pt;font-family:'Times New Roman'"> tan</span><span style="font-size:12pt;font-family:'Times New Roman';vertical-align:super">2</span><span style="font-size:12pt;font-family:'Times New Roman'">45° – tan60º + tan30º</span> </p> <p> </p> <p> </p> <p> </p> <p> </p> <p> </p> <p> </p> <p> </p> <p style="margin-left:36.000000pt;text-indent:-36.000000pt"> <span style="font-size:12pt;font-family:'Times New Roman'">3.Given</span><span style="font-size:12pt;font-family:'Times New Roman'"> where</span><span style="font-weight:bold;font-size:12pt;font-family:'Times New Roman'">90º ≤ θ ≤ 180º</span><span style="font-size:12pt;font-family:'Times New Roman'"> Include a diagram. Show all work.Leave all side lengths in exact format(no decimals), angles to nearest degree)(7 marks)</span> </p> <p style="margin-left:36.000000pt;text-indent:-36.000000pt"> </p> <p> <span style="font-size:12pt;font-family:'Times New Roman'">a)Determine the values of x, y and r.x =</span> </p> <p> <span style="font-size:12pt;font-family:'Times New Roman'">b)Determine the value of β and θy =</span> </p> <p style="text-indent:36.000000pt"> <span style="font-size:12pt;font-family:'Times New Roman'">c)State the 6 trigonometric ratios.r =</span> </p> <p style="text-indent:36.000000pt"> <span style="font-size:12pt;font-family:'Times New Roman'">β = </span><span style="font-size:10pt;font-family:'Times New Roman'">(related acute angle)</span> </p> <p style="text-indent:36.000000pt"> <span style="font-size:12pt;font-family:'Times New Roman'">θ =</span><span style="font-size:10pt;font-family:'Times New Roman'">(principle angle)</span> </p> <p style="text-indent:36.000000pt"> </p> <p style="text-indent:36.000000pt"> </p> <p> </p> <p> </p> <p> </p> <p> </p> <p> </p> <p> </p> <p style="margin-left:36.000000pt;text-indent:-36.000000pt"> <span style="font-size:12pt;font-family:'Times New Roman'">5.An angle in standard position passes through the point P(-5, -12). Include a diagram. Show all calculations. Round angles to the nearest degree. (7 marks)</span> </p> <p style="margin-left:36.000000pt;text-indent:-36.000000pt"> </p> <p style="text-indent:36.000000pt"> <span style="font-size:12pt;font-family:'Times New Roman'">a)State the value of the 3 primary trigonometric ratios.</span> </p> <p style="text-indent:36.000000pt"> </p> <p style="text-indent:36.000000pt"> </p> <p style="text-indent:36.000000pt"> </p> <p> </p> <p> </p> <p> </p> <p style="text-indent:36.000000pt"> <span style="font-size:12pt;font-family:'Times New Roman'">b)The value of the related acute angle__________________</span> </p> <p style="text-indent:36.000000pt"> <span style="font-size:12pt;font-family:'Times New Roman'">c)The value of the principle angle.__________________</span> <a name="_GoBack"> </a> </p> </div> </body></html> ">
