We Know that
For a function to have an inverse function, it must be one-to-one—that
is, it must pass the Horizontal Line Test.
1. On the interval [–pi/2, pi/2], the function
y = sin x is
increasing
2. On the interval [–pi/2, pi/2], y = sin x takes on its full
range of values, [–1, 1]
3. On the interval [–pi/2, pi/2], y = sin x is
one-to-one
sin x has an inverse function
on this interval [–pi/2, pi/2]
On the restricted domain [–pi/2, pi/2] y = sin x has a
unique inverse function called the inverse sine function. <span>f(x) = sin−1(x)
</span>the range of y=sin x in the domain [–pi/2, pi/2] is [-1,1]
the range of y=sin-1 x in the domain [-1,1] is [–pi/2, pi/2]
1. On the interval [0, pi], the function y = cos x is decreasing
2. On the interval [0, pi], y = cos x takes on its full range of values, [–1, 1]
3. On the interval [0, pi], y = cos x is one-to-one
cos x has an inverse function on this interval [0, pi]
On the restricted domain [0, pi] y = cos x has a unique inverse function called the inverse sine function. f(x) = cos−1(x)
the range of y=cos x in the domain [0, pi] is [-1,1]
the range of y=cos-1 x in the domain [-1,1] is [0, pi]
the answer is
<span>the values of the range are different because the domain in which the inverse function exists are different</span>
<span>distributive property lets you multiply a sum by multiplying each addend separately and then add the products.
</span>concept is a general idea behind an equation, problem or formula in math.<span> </span>
Answer:
The correct answers are A, D, and E.
Step-by-step explanation:
The expected probability of the spinner landing on an even number is 50%, or 125 times. However, it lands on an even number 135 times, which is equal to 54%. This is more than expected. The actual probability is the probability after an experiment has been conducted, therefore the actual probability of landing on an odd number is 46%. The expected probability is the probability before an experiment is conducted, so it is 50%. It is equally likely for the spinner to land on an even or odd number, because each spin is an independent event.
I hope this helps!
The answer is 3/6 or 1/2. If it is of a hour it's 30 minutes. <span />
