Correct option is B
Given:
cos(x) = 2/3.
Find sin(x): Using the Pythagorean identity:
sin^2(x) + cos^2(x) = 1
Substituting cos(x) = 2/3:
sin^2(x) + (2/3)^2 = 1
sin^2(x) + 4/9 = 1
sin^2(x) = 1 - 4/9 = 5/9
sin(x) = √(5/9) = √5/3
Find cot(x): The cotangent of x is defined as:
cot(x) = cos(x)/sin(x)
Substituting the values of cos(x) and sin(x) :
cot(x) = (2/3)/(√5/3) = 2/√5
