Determine which of the following facts are true or false by selecting the fact(s) that is/are true. Make sure to select ALL true facts! D) ine aomain of the inverse sine function is [-1,1]. E) tan sin(z) cos(y) OF) tan(z) = tan
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
please give short explanation for all parts D through J
![Determine which of the following facts are true or false by selecting the fact(s) that
is/are true. Make sure to select ALL true facts!
O D) 'ine aomain of the inverse sine function is [-1,1].
sin(z)
cos(y)
E)
tan () =
F) tan(z)
tan
G) cos(3æ) cos(2æ) – sin(3x) sin(2æ) = cos(5æ)
OH) For any functions fand g. (fog)() = (go f)(x).
sin- (x)
1
sin(x)
OJ) cos(x) is an example of an even function.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F21d92c2f-6485-4b0b-a513-40194c3c2abd%2Fe249fbda-17f6-445d-abda-1f4315d52e17%2F59h2aec_processed.png&w=3840&q=75)
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