document.write( "Question 917957: What are the trigonometric functions if sin t= (-1/4). sec t<0 \n" ); document.write( "

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What are the trigonometric functions if sin t= (-1/4). sec t<0
\n" ); document.write( "reference angle t is in quadrant III in which sin<0, cos<0.
\n" ); document.write( "sin(t)=-1/4 (given)
\n" ); document.write( "cos(t)=-√(1-sin^2(t))=-√(1-(-1/4)^2)=-√(1-(1/16))=-√(15/16=-√15/4
\n" ); document.write( "tan(t)=sin/cos=-1/-√15=√15/15
\n" ); document.write( "cot(t)=√15
\n" ); document.write( "csc(t)=-4
\n" ); document.write( "sec(t)=4/-√15=-4√15/15 \n" ); document.write( "

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