To evaluate cot θ given that sinθ=√6/5 we shall have:
sin θ=opposite/hypotenuse
hence
opposite=√6
hypotenuse=5
thus the adjacent will be found using the Pythagorean theorem
c²=a²+b²
plugging in the value we get:
5²=(√6)²+b²
b²=25-6
b²=19
b=√19
thus
adjacent=√19
but
cotθ=1/tanθ
tanθ=√6/√19
hence:
cotθ=√19/√6
Answer:
C. 20
Step-by-step explanation:
The order in which the members are selected is important. The first one selected is the president and the second is the vice president.
So we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:

In this problem:
2 people are going to be chosen from a set of 5. So

So the correct answer is:
C. 20
Answer:
Step-by-step explanation:

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