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MatroZZZ [7]
2 years ago
11

What is the domain of the sine and cosine functions?

Mathematics
1 answer:
eimsori [14]2 years ago
8 0

Answer:

domain of the sine and cosine functions is all real numbers

Step-by-step explanation:

range of both the sine and cosine functions is [−1,1]

graph can go left and right to infinity

graph goes up and down between 1 and -1

graph looks like a wave or

like U letters next to each other

UUUU

sine and cosine of an angle have the same absolute value as the sine and cosine of its reference angle.

mathlibretextsorg

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The surface areas of two similar solids are 340 yd² and 1,158 yd². The volume of the larger solid is 1,712 yd³. What is the volu
ratelena [41]

The ratio of surface area is equal to the ratio of the square of the corresponding dimensions. And ratio of volumes of two solids is equal to the cube of the ratio of the corresponding dimensions .

We start with the relation between ratio of surface area and ratio of corresponding sides. That is

\frac{340}{1158}=(\frac{x}{y} )^2

Here x and y are the corresponding sides .

\frac{x}{y} =\sqrt{\frac{340}{1158} } =0.542

Let the volume of the smaller one be v

\frac{v}{1712}=0.542^3

v=1712*0.542^3=272

So for the smaller solid, volume is 272 . And the correct option is the first option .

4 0
3 years ago
Three times the sum of a number and 21 is at most -26
Anna007 [38]
It would be: 3(x + 21) ≤ -26
3x + 21 ≤ -26
3x ≤ -47
x < -47/3

In short, Your Answer would be -47/3 or 15.67

Hope this helps!

8 0
3 years ago
Researchers investigated the possible beneficial effect on heart health of drinking black tea and whether adding milk to the tea
Elanso [62]

Answer:

(a)  It is an experiment.

(b) Group III has been tested to compare the effect of tea

Step-by-step explanation:

24 volunteers are randomly selected to one of the three groups.

Group I drinks two cups of hot black tea without milk

Group II drinks two cups of hot black tea with milk

Group III drinks two cups of hot water but no tea.

At the end of the month, the researchers measured the change in each of the participant's heart health.

The average change of health status of three Groups can be measured and let it be X1', X2' and X3'. We can set up the hypothesis of no difference of heart health i.e H0 : µ1 = µ2 = µ3 against the alternative hypothesis that they are not equal. As the sample size is less than 30, we can use t-statistic.

Under the above logic, (a) it is an experiment.

(b) Group III has been tested to compare the effect of tea or to have comparison between GroupI and Group III.

4 0
3 years ago
Which fraction is the smallest 1/2 1/3 5/8 6/14
jek_recluse [69]
The answer is 6/14 , this should be correct because it has 14 sections which makes it smaller than the rest!
6 0
3 years ago
A carpenter has a wooden that measures 1/4 meter long. He must cut the board into 6 pieces of equal length. How long in meters s
DanielleElmas [232]

Answer:

1/26 meter

Step-by-step explanation:

You would start by dividing 1/4 by 6. You'd have to multiply 1/4 by the reciprocal of 6 (the reciprocal of 6 would be 1/6). Then you get (1/4) * (1/6), which is equal to 1/24.

8 0
3 years ago
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