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if sin=1/3 and tan is negative; what is cot and sec?

 Feb 25, 2015

Best Answer 

 #1
avatar+118608 
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if sin=1/3 and tan is negative; what is cot and sec?

2nd quadrant

 

$$\\sin\theta=\frac{opp}{hyp}=\frac{1}{3}\\\\
adj=\sqrt{9-1}=\sqrt8=2\sqrt2\\\\
Cot\theta=\frac{-adj}{opp}=\frac{-2\sqrt2}{1}=-2\sqrt2\\\\
Sec\theta=\frac{-hyp}{adj}=\frac{-3}{2\sqrt2}=\frac{-3\sqrt2}{4}\\\\$$

 Feb 25, 2015
 #1
avatar+118608 
+5
Best Answer

if sin=1/3 and tan is negative; what is cot and sec?

2nd quadrant

 

$$\\sin\theta=\frac{opp}{hyp}=\frac{1}{3}\\\\
adj=\sqrt{9-1}=\sqrt8=2\sqrt2\\\\
Cot\theta=\frac{-adj}{opp}=\frac{-2\sqrt2}{1}=-2\sqrt2\\\\
Sec\theta=\frac{-hyp}{adj}=\frac{-3}{2\sqrt2}=\frac{-3\sqrt2}{4}\\\\$$

Melody Feb 25, 2015

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