document.write( "Question 1159432: Given tan θ = -9/4, where 270° ≤ θ ≤ 360°,
\n" ); document.write( "a) state the other five trigonometric ratios as fractions.
\n" ); document.write( "b) determine the value of θ to the nearest degree\r
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Algebra.Com's Answer #782457 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "Given \"tan%28theta%29+=+-9%2F4\", where \"270+%3C=+theta+%3C=+360\"°,\r
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\n" ); document.write( "\n" ); document.write( "a) state the other five trigonometric ratios as fractions.\r
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\n" ); document.write( "\n" ); document.write( "if \"tan%28theta%29+=+-9%2F4\",\r
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\n" ); document.write( "\n" ); document.write( "since \"tan%28theta%29+=+y%2Fx\", then \"y=-9\" and \"x=4\"\r
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\n" ); document.write( "\n" ); document.write( "then hypotenuse \"sqrt%284%5E2=%28-9%29%5E2%29=sqrt%2816%2B81%29=sqrt%2897%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"sin%28theta%29=-9%2Fsqrt%2897%29\"\r
\n" ); document.write( "\n" ); document.write( "\"cos%28theta%29=4%2Fsqrt%2897%29\"\r
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\n" ); document.write( "\n" ); document.write( "b) determine the value of \"theta\" to the nearest degree\r
\n" ); document.write( "\n" ); document.write( "since in quadrant III, because given \"270+%3C=+theta+%3C=+360\"°\r
\n" ); document.write( "\n" ); document.write( "\"theta=270-sin%5E-1%289%2Fsqrt%2897%29%29=270-%28-66.04%29=270%2B66.04=293.96=294\"°\r
\n" ); document.write( "\n" ); document.write( "\"theta=360-cos%5E-1%284%2Fsqrt%2897%29%29=360-66.04=294\"°\r
\n" ); document.write( "\n" ); document.write( "\"theta=360-tan%5E-1%28-9%2F4%29=360-66.04=294\"°\r
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\n" ); document.write( "\n" ); document.write( "so, your angle is: \"theta=294\"°\r
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