If the secant theta is 2, then the cosine theta is 1/2. In the first quadrant, with cosine is side adjacent over hypotenuse, then the angle in question is a 60 degree angle. The side opposite the angle is sqrt3. The sin of a 60 degree angle is sqrt3/2 and the tangent is the side opposite over the side adjacent which is sqrt3/1 or just sqrt3.