Question 33860: cos theta = 5/12 and tan theta is negative, find the exact value for ctn theta.
Answer by venugopalramana(3286)   (Show Source):
You can put this solution on YOUR website! cos theta = 5/12 and tan theta is negative, find the exact value for ctn theta.
USING ALL SILVER TEA CUPS,SINCE COS IS +VE AND TAN IS -VE,THETA IS IN IV Q.WHERE CTAN IS ALSO -VE.
HENCE COMPLETING TRIANGLE
12^2=5^2+X^2
X=SQRT(144-25)=SQRT(119)
HENCE COTAN(THETA)= 5/-SQRT(119)=-(5SQRT(119)/119)
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