Given, sin A = 1/2
We have to find the value of cot A.
We know that sin A = opposite / hypotenuse
Opposite = 1
Hypotenuse = 2
Using the pythagorean theorem,
(hypotenuse)2 = (opposite)2 + (adjacent)2
(2)2 = (adjacent)2 + (1)2
4 = (adjacent)2 + 1
(adjacent)2 = 4 - 1
(adjacent)2 = 3
Taking square root,
Adjacent = √3
We know that cot A = adjacent / opposite
Cot A = √3/1
Therefore, the value of cot A is √3.
