document.write( "Question 683040: use a calculator to approximate two values of theta ( 0 less than or equal to theta less than 2pi ) that satisfy the equation. round the value to three decimal places.
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document.write( "1.) cos theta= -0.3214 \r
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document.write( "find the indicated trigonometric value in the specified quadrant.
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document.write( "1.) Function
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document.write( " sec theta = -9/4
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document.write( " Quadrant 3
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document.write( " trigonometric value : tan theta \n" );
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Algebra.Com's Answer #423439 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! use a calculator to approximate two values of theta ( 0 less than or equal to theta less than 2pi ) that satisfy the equation. round the value to three decimal places. \n" ); document.write( "1.) cos(theta) = -0.3214 \n" ); document.write( "Note: cos is negative in QII and QII \n" ); document.write( "cos^-1(-0.3214) = 1.8980 in QII \n" ); document.write( "Or \n" ); document.write( "cos^-1(-0.3214) = 4.3852 in QIII \n" ); document.write( "---------------------------------------- \n" ); document.write( "find the indicated trigonometric value in the specified quadrant. \n" ); document.write( "1.) Function \n" ); document.write( "sec theta = -9/4 \n" ); document.write( "Quadrant 3 \n" ); document.write( "sec = r/x, so r = 9 and x = -4 \n" ); document.write( "Then y = sqrt[r^2-x^2] = sqrt[81-15] = sqrt[66] \n" ); document.write( "---- \n" ); document.write( "trigonometric value : tan(theta) = y/x = sqrt(66)/4, since x and y are \n" ); document.write( "negative in QIII \n" ); document.write( "===================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |