Answer:
Option C
Step-by-step explanation:
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>
Answer:
Volume of the pyramid would be 22 cubic inches.
Step-by-step explanation:
A square pyramid has a third of the volume of a cube so 66/3 = 22
(Hope this helps! If it did please give me brainliest!)
Answer:
(0.5446, 0.6554)
Step-by-step explanation:
As the sample is sufficiently large, the formula is used to estimate the proportion shown in the attached image.
Where:
P: sample proportion = 0.6
n: Sample size = 300
: Confidence level = 0.95
α: Significance = 0.05
*
* Obtained from the normal standard table.
When introducing these values in the formula shown in the image we obtain:
Finally, the confidence interval is:
(0.5446, 0.6554)
1.999… is exactly the number 2.
Let <em>x</em> = 1.999… . Then 1000<em>x</em> = 1999.999… . Subtract <em>x</em> from this to eliminate the fractional part, and you get
1000<em>x</em> - <em>x</em> = 1999.999… - 1.999…
1000<em>x</em> - <em>x</em> = 1999 - 1
999<em>x</em> = 1998
<em>x</em> = 1998/999 = 2/1 = 2
So <em>p</em> = 2 and <em>q</em> = 1.
