<h2>
Hello!</h2>
The answer is: 
<h2>
Why?</h2>
Domain and range of trigonometric functions are already calculated, so let's discard one by one in order to find the correct answer.
The range is where the function can exist in the vertical axis when we assign values to the variable.
First:
: Incorrect, it does include 0.4 since the cosine range goes from -1 to 1 (-1 ≤ y ≤ 1)
Second:
: Incorrect, it also does include 0.4 since the cotangent range goes from is all the real numbers.
Third:
: Correct, the cosecant function is all the real numbers without the numbers included between -1 and 1 (y≤-1 or y≥1).
Fourth:
: Incorrect, the sine function range is equal to the cosine function range (-1 ≤ y ≤ 1).
I attached a pic of the csc function graphic where you can verify the answer!
Have a nice day!
Answer:
P(F/E) = 0.5
Step-by-step explanation:
We have the following information:
P(E∩F)=0.1
P(E)=0.2
Additionally, the probability P(A/B) of event A given Event B is calculated as:
P(A/B) = P(A∩B)/P(B)
Now, we want the probability P(F/E), so it is calculated as:
P(F/E) = P(E∩F)/P(E)
Finally, replacing the values we get:
P(F/E) = 0.1 / 0.2
P(F/E) = 0.5
Answer:
D
Step-by-step explanation:
Zero times, did you word this question correctly?
Answer: Line AC = 16
Step-by-step explanation: We have two angles and one side given. The side given is facing one of the angles so we apply the Sine Rule;
a/SinA = b/SinB
We can now substitute values as follows;
AC/Sin 77 = 14/Sin 58
We cross multiply and we have
AC = (14 x Sin 77)/Sin 58
AC = (14 x 0.9744)/0.8481
AC = 13.6416/0.8481
AC = 16.08
Approximately, Line AC = 16.
