Determining Cosine in the Second Quadrant
The question asks for the exact value of cos(θ) given that θ is in the second quadrant.
In the second quadrant, the cosine of an angle is negative because the x-coordinates of points on the unit circle are negative there, while the y-coordinates are positive. Since the cosine function represents the x-coordinate (horizontal distance from the origin) on the unit circle for a given angle, cos(θ) will be negative for θ in the second quadrant.
However, without more information about the specific angle θ or the relationship to other trigonometric values, we cannot provide a numerical answer. Generally, if θ were a special angle where the exact values are known, you could use those values and simply affix a negative sign. But since the exact value of θ isn't given, we can only say that cos(θ) is negative in the second quadrant. If there's additional context or specific relations given, please provide that information for a more complete answer.
