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Viktor [21]
3 years ago
13

What is the range of y=sec^-1(x)?

Mathematics
2 answers:
disa [49]3 years ago
7 0

Answer:

Range is [0, π/2) ∪ [π/2, π)

Step-by-step explanation:

For the given function y=sec^{-1}x if we draw a graph we find that it's discontinuous at x = -1 and 1.

Therefore domain of the function will be = (-∞, -1]∪[1, ∞)

and the range of the function will be [0, π/2) ∪ (π/2, π].

Bingel [31]3 years ago
3 0
Assuming that the x is not part of the ^-1 the range would be 

[0,π/2) U (π/2,<span>π]</span>
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Find the value of r in (4,r),(r2) so that the slope of the line containing them is -5/3 A.-1/7 B-7. C 1/7 D. 7
inessss [21]

Answer:

Option D (7).

Step-by-step explanation:

The formula for gradient of the straight line is given by:

m = (y2 - y1)/(x2 - x1); where (x1, y1) and (x2, y2) are two fixed points on the straight line. It is given that (x1, y1) = (4, r) and (x2, y2) = (r, 2). The gradient of the straight line is given by -5/3. To find the value of r, simply substitute all the values in the gradient equation. Therefore:

-5/3 = (2 - r)/(r - 4).

Cross Multiplying:

-5*(r - 4) = 3*(2 - r).

-5r + 20 = 6 - 3r.

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r = 7.

Therefore, Option D is the correct answer!!!

4 0
3 years ago
Read 2 more answers
a museum employee surveys a random sample of 350 visitors to the museum. Of those visitors, 266 stopped at the gift shop. Based
Naddika [18.5K]

1748 people are expected to stop at the gift shop out of 2300.

Step-by-step explanation:

Given,

Number of random sampled people = 350

Number of people who stopped at shop = 266

Percentage = \frac{People\ stopped}{Total\ people}*100

Percentage = \frac{266}{350}*100=76\%

Therefore,

76% people would stop at the gift stop.

Number of people = 2300

Expected number = 76% of total

Expected number = \frac{76}{100}*2300

Expected number = 1748

1748 people are expected to stop at the gift shop out of 2300.

4 0
3 years ago
Use the law of cosines to find the value of 2*4*5 cos theta
sweet-ann [11.9K]
We can proceed in solving the problem since all information are given such as 2*4*5costheta.
we have a=4, b=5, and C=theta
let us solve for "c" using Pythagorean
c²=a²+b²
c²=4²+5²
c=6.4
Solving for theta or C
c²=a²+b²-2abcosC
6.4²=4²+5²-2*4*5*cosC
C=90

3 0
3 years ago
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Is 4m equal to 400dm
erica [24]
It is not.

400 decimeters = 4,000 cm

4,000 cm = 40 m
6 0
3 years ago
X − (y − y)= for x = 3 and y = 6
dusya [7]

Answer:

3

Step-by-step explanation:

x − (y − y)

3-(6-6)

3-0

3

3 0
3 years ago
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