Given cos A= 11 over 61 and that angle A is in Quadrant I, find the exact value of tan A in simplest radical form using a rational denominator

Answer 1

cosine = adjacent side over hypotenuse

tangent = opposite side over adjacent side

cosA=11/61

opposite side is the square root of 61 squared - 11 squared

=square root of (3721-121)

= square root of 3600

=60

tanA=opposite side over adjacent side

tanA=60/11