If triangle RST is within Quadrant 4 and cos R= √3/2, what is the value of cotR
1 answer:
Answer:
CotR = -√3
Step-by-step explanation:
In the 4th quadrant, sin is negative;
Since Cos R = √3/2,
Adjacent = √3
Hypotenuse = 2
Get the opposite;
opp^2 = 2^2 -(√3)^2
opp^2 = 4 - 3
opp^2 = 1
Opp = 1
Get sinR
Sin R = opp/hyp
SinR= -1/2
CotR = cosR/sinR
CostR = (√3/2)/(-1/2)
CotR = √3/2* -2/1
CotR = -√3
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