The statement is true because the arcsin function is defined to be the inverse of the sin function.
<h3>
What are inverse functions?</h3>
For invertible function f(x) (this means that f(x) has an inverse) we define the inverse function g(x) such that:
f(g(x)) = x
g(f(x)) = x
Now, particularly for the sin function, arcsin is defined as the inverse function.
Then by definition, arcsin must meet the conditions:
- arcsin(sin(x)) = x
- sin(arcsin(x)) = x
So the answer is true for the definition of the arcsin function.
If you want to learn more about the sin function:
brainly.com/question/8120556
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Answer:
3/-5
Step-by-step explanation:
Rise over Run is what Slope is. So basically we look at it and go how do we get from -6 to -3? Well you add 3, so thats your top number. We look at the bottom of the fractions now. We use the same thought process. How do you get from 14 to 9? Subtract 5. So our slope is 3/-5. Hope this helps
Answer:
25 nautical miles
Step-by-step explanation:
We need to find the rate. We can do so using the formula, distance = rate * time
d= rt
We know the distance and the time, so we need to solve for the rate
d/t = rate
d= 150 nautical miles
t = 6 hours
d/t = 150 nautical miles /6 hours
rate = 25 nautical miles per hour
So in 1 hour we can go 25 nautical miles
