document.write( "Question 1117157: Find the values of the trigonometric functions of θ from the information given.\r
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document.write( "Tanθ=-3/4, Cosθ>0 \n" );
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Algebra.Com's Answer #732143 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Tangent (y/x) is negative in quadrants II and IV; cosine (x/r) is positive in quadrants I and IV. So this angle is in quadrant IV. \n" ); document.write( "With tangent (y/x) equal to -3/4, we can let y=-3 and x=4; the Pythagorean Theorem then gives r=5. Then \n" ); document.write( "sin(t) = y/r = -3/5 \n" ); document.write( "cos(t) = x/r = 4/5 \n" ); document.write( "tan(t) = y/x = -3/4 \n" ); document.write( "cot(t) = 1/tan(t) = -4/3 \n" ); document.write( "csc(t) = 1/sin(t) = -5/3 \n" ); document.write( "sec(t) = 1/cos(t) = 5/4 \n" ); document.write( " |