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Given sec (theta) = -2, tan (theta) > 0. Find the exact values of Sin (theta) and cot (theta)

 Jun 10, 2014

Best Answer 

 #1
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This has to be an angle in the 3rd quagrant for the secant to be negative and the tangent to be positive.

The secant is = 2 where the cosine = 1/2, i.e., 60 degrees. So this is a 60 degree angle in quad 3 = 240 degrees.

The sine = -√(3)/2   and the cotangent = 1/√(3) (or √(3)/3)

 

 Jun 10, 2014
 #1
avatar+130511 
+5
Best Answer

This has to be an angle in the 3rd quagrant for the secant to be negative and the tangent to be positive.

The secant is = 2 where the cosine = 1/2, i.e., 60 degrees. So this is a 60 degree angle in quad 3 = 240 degrees.

The sine = -√(3)/2   and the cotangent = 1/√(3) (or √(3)/3)

 

CPhill Jun 10, 2014

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