Remark The point value is (-2,5) So we know the two sides. We need the hypotenuse. We should notice that the x value is minus (-2) and value is y value is plus (5). That means we are in quad 2. Be careful how you read that. (-2,5) is a point. It is not a tangent.
Step One Find the hypotenuse.
a = - 2 b = 5 c = ??
c^2 = a^2 + b^2 c^2 = (-2)^2 + 5^2 c^2 = 4 + 25 c^2 = 29 Take the square root of both sides. sqrt(c^2) = sqrt(29) c = sqrt(29)
Step Two Find the Cosine of the angle. Cosine(theta) = adjacent / hypotenuse Cosine(theta) = -2 / sqrt(29) <<<<<<< Answer
