Answer:
cot (x) ; D
Step-by-step explanation:
Mathematically;
cosec is 1/sin
So if cosec is 14/10 , then sin is 10/14
Sine refers to opposite/hypotenuse
So to get the adjacent, we use the pythagoras theorem.
According to this, the square of the hypotenuse equals the sum of the squares of the opposite and adjacent
Hence to get the value of the adjacent, we have;
14^2 - 10^2 = O^2
O^2 = 196-100
O^2 = 96
O = square root of 96
Now, mathematically, we know that Tan is opposite/ adjacent
So in this case tan = 10/√96
But cot is 1/tan
Thus cot = √96/10
So cot is our answer
