Given tan A= 2/9 and that angle A is in quadrant I, find the exact value of sec A in simplest radical form using a rational denominator

cot is adjacent/opposite.  Therefore:

adjacent = 3

opposite = 7

cos is adjacent./hypotenuse.  We can use the Pythagorean theorem to find the hypotenuse.

a2+b2=c2

32+72=c2

9+49=c2

58=c2  Take the square root of both sides

√58=c

cos = 3/√58  To rationalize, multiply the numerator and denominator by √58

cos = (3/√58)(√58/√58) = 3√58/58

Step-by-step explanation:

146%

step-by-step explanation: