SOLUTION: given that cot(theta)=√3 and cos( theta) < 0 . without finding the angle (theta ). find all other trigonometric ratios for theta
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Question 880169: given that cot(theta)=√3 and cos( theta) < 0 . without finding the angle (theta ). find all other trigonometric ratios for theta
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
given that cot(theta)=√3 and cos( theta) < 0 . without finding the angle (theta ). find all other trigonometric ratios for theta.
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You are working with a reference right triangle in quadrant III in which cos<0, cot >0, sin<0, tan>0
hypotenuse of reference right triangle in quadrant III=√(√3)^2+1^2)=√(3+1)=√4=2
cot(theta)=√3
tan(theta)=1/√3=√3/3
sin(theta)=-1/2
csc(theta)=-2
cos(theta)=-√3/2
sec(theta)=-2/√3=-2√3/3
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