Given sinA = 2 over radical 13, and that angle A is in Quadrant 1, find the exact value of tanA in simplest radical form using a rational denominator

Answer 1

sinA = 2/√13

cosA = √(1 - sin²A) = √(1 - 4/13) = √(9/13) = 3/√13

tanA = sinA / cosA = (2/√13) / (3/√13) = 2/3