Answer:
sin(x)=1/
Step-by-step explanation:
The trigonometric identities involve trigonometric functions. Here we will be using Trigonometric identity
sin²x = 1 /( 1+cot²x )
now cot(x)= -3
⇒ cot²x= (-3)²
⇒ cot²x= 9
sin²x= 1/( 1+9)
⇒ sin²x = 1/10
taking under root on both the sides we get
√sin²x=/
⇒ sin(x)=± 1/
Answer:
<h2>See the explanation.</h2>Step-by-step explanation:
(a)
7 persons will show up for sure, hence there is not any kind of probability here.
The other 5 persons have 50% chance to show up.
The flight will be overbooked, if either 4 will come or 5 will come.
From the total 5 persons, 4 can be chosen in ways.
The probability that any four among the 5 will come is .
The probability that all of the 5 passengers will come is .
Hence, the required probability is .
(b)
The probability that there will be exactly 10 passengers on the flight is .
The probability that there will be no empty seats in the plane is .
Hence, probability of having empty seats is .