if cot A=1/2 and angle A is in quadrant 1 the value for csc A is...?

Answer 1

cscA= sqrt(5)/2

Draw a right triangle withe legs = 1 and 2. Then hypotenuse must be sqrt(5) . CotA = 1/2, so cscA = sqrt(5)/2

Answer 2

cotA = 1/2

cot^2 A = 1/4

cos^2 A/sin^2 A = 1/4

(1- sin^2 A)/sin^2 A = 1/4
1/sin^2 A - 1 = 1/4
1/sin^2 A = 1 + 1/4 = 5/4
csc^2 A = 5/4
csc A = sqrt(5)/ 2