SOLUTION: cot θ = 1/3, sin θ < 0
Find the values of the trigonometric functions of θ from the information given.
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Question 712377: cot θ = 1/3, sin θ < 0
Find the values of the trigonometric functions of θ from the information given.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
cot θ = 1/3, sin θ < 0
Find the values of the trigonometric functions of θ from the information given.
**
We are working with a reference angle in quadrant III because only in quadrant III is cot>0 and sin<0.
..
let O=opposite side
let A=adjacent side
let H=hypotenuse
cot θ=A/O=1/3
A=1, O=3
H=√(O^2+A^2)=√(3^2+1^1)=√(9+1)=√10
..
sin θ=-3/√10
cos θ=-1/√10
tan θ=3
cot θ=1/3
csc θ=-√10/3
sec θ=-√10
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