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The angle theta is located in quadrant ii, and cosθ₁=-2/11

User Davaughn
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Final answer:

The question is about an angle in the second quadrant with a cosine value of -2/11, indicating the triangle formed would have a negative adjacent side and positive hypotenuse.

Step-by-step explanation:

The student's question deals with an angle θ that is located in the second quadrant and has a given cosine value of cosθ=-2/11. Since angles are measured counterclockwise from the positive x-axis, an angle in the second quadrant would have a positive sine and a negative cosine, which coincides with the provided cosine value. If we consider a right triangle where the angle is located at the origin and its terminal side is in the second quadrant, the adjacent side (x-coordinate) would be negative, the opposite side (y-coordinate) would be positive, and the hypotenuse would be positive. The cosine of the angle corresponds to the adjacent side over the hypotenuse (x/r), which in this case is -2/11.

User Zverok
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