document.write( "Question 479864: For the information given, find the values x,y and r. Clearly indicate the quadrant of the terminal side of theta, then state the values of the 6 trig functions of theta.\r
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document.write( "#61 sin (theta)= -(7/8) and secant (theta)< 0\r
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document.write( "I don't so much have trouble with figuring out the 6 functions, but rather how they determined in the answer that the quadrant of the terminal side of (theta) is in quadrant III. \r
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document.write( "Thank you in advance, \r
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document.write( "John \n" );
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Algebra.Com's Answer #328915 by lwsshak3(11628) ![]() You can put this solution on YOUR website! Clearly indicate the quadrant of the terminal side of theta, then state the values of the 6 trig functions of theta. #61 sin (theta)= -(7/8) and secant (theta)< 0. \n" ); document.write( "** \n" ); document.write( "let x= theta \n" ); document.write( "Given: sin x=-7/8 and sec x<0 \n" ); document.write( "This says sin x and sec x or sin x and cos x are in quadrants where both are negative. sin x and cos x are both negative only in quadrant III. \n" ); document.write( "Trig functions as follows: \n" ); document.write( "sin x=-7/8 (given) \n" ); document.write( "cos x=-√15/8 (adjacent leg=√(8^2-7^2)=√64-49=√15) \n" ); document.write( "tan x=7/√15=(7√15)/15 \n" ); document.write( "csc x=-8/7 \n" ); document.write( "sec x=-8√15=(-8√15)/15 \n" ); document.write( "cot x=√15/7 \n" ); document.write( " |