SOLUTION: If sec(theta)=4, and sin(theta)< 0, find the exact value of cot(theta)?

Question 593635: If sec(theta)=4, and sin(theta)< 0, find the exact value of cot(theta)?
Answer by danarusu(2)   (Show Source): You can put this solution on YOUR website!
What we know:
cos(theta)*sec(theta) = 1          (I)
                        (II)
               (III)
sec(theta) = 4                        (IV)
sin(theta) < 0                        (V)

-----------------------

From (I)+(IV) =>                                   (I*)
From (I*)+(III) => or (II*)
From (II*)+(V) =>                           (III*)
From (II)+(III*) =>

Final answer: cot(theta) = -0.258
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