(Sint+cost)^2= ?

Can any one help me with this question

Answers

Answer 1
Answer: The answer to your question is: Yes.

Now, would you like to actually see the solution ?

First, multiply the quantity out:

(sin + cos)² = sin²(t) + cos²(t) + 2sin(t)cos(t)

You need to know:
==> sin²(any angle) + cos²(the same angle) = 1
==> 2sin(any angle)cos(the same angle) = sin(double the angle)

So the equation becomes:

(sin + cos)² = 1 + sin(2t)



Answer 2
Answer: (sin\ t+cos\ t)^2=sin^2t+cos^2t+2\cdot sin\ t\cdot cos\ t=1+sin\ 2t

Related Questions

Stir-fry is tony's favorite food to cook, but it always makes a lot of smoke! Tony needs to know the volume of his kitchen so he can buy a fan that is the right size. Tony's kitchen has a floor area of 85 square feet. The height of the ceiling is 8 feet. What is the volume of tony's kitchen?
Jonas is planning out his route for an upcoming race. He uses negative numbers to represent points beforethe finish line and positive numbers to represent points after the finish line.On Jonas's map, there is a bridge at -91= meters, and his wife is watching him at 14 meters.What does 0 meters represent?Choose 1 answer:Jonas's wifeB. The bridgeThe finish line​
Esther starts at one corner of a square field and walks 90 feet along one side to another corner of the field. She turns 90° and walks 70 feet, and then walks straight back to where she started. What is the area of the part of the field she walked around?a. 3150 ft²b. 4900 ft²c. 6300 ft²d. 8100 ft²
Elise built a rectangular vegetable garden that is 9 feet long and has an area of 72 square feet. What is the perimeter of Elise’s vegetable garden?
What is the length of the hypotenuse of a right triangle whose legs have lengths of 5 and 12?

do you think making a table is the best way to find the total area of the rooms given in the example is there another problem solving strategy you think would work just as well or better describe the alternate method and why you think it works

Answers

Well,

First, we'd need to see what the problem is.  If it's an illustration with all of the dimensions of the rooms labeled, you can just write the area inside each room and then make a list of the values.  From there you can just add them up.  So making a table is just a more formal way of organizing your data.  The grids really do not offer much help in adding up the areas.

Weinstein, McDermott, and Roediger (2010) con- ducted an experiment to evaluate the effectiveness of different study strategies. One part of the study asked students to prepare for a test by reading a passage. In one condition, students generated and answered questions after reading the passage. In a se tion, students simply read the passage a second time. All students were then given a test on the passage material and the researchers recorded the number of correct answers. a. Identify the dependent variable for this study. b. Is the dependent variable discrete or continuous? c. What scale of measurement (nominal, ordinal, interval, or ratio) is used to measure the dependent variable? or h ctudy reports that alcohol consumption is ta university why or why not. pidor inexperiment?

Answers

Answer:

Weinstein, McDermott, and Roediger (2010) conducted an experiment to evaluate the effectiveness of different study strategies.

One part of the study asked students to prepare for a test by reading a passage.

In one condition, students generated and answered questions after reading the passage.

In a second condition, students simply read the passage a second time.

All students were then given a test on the passage material and the researchers recorded the number of correct answers.

a. Identify the dependent variable for this study:

   The dependent variable for this study is effectiveness.    

b. Is the dependent variable discrete or continuous?

   The dependent variable is discrete.

c. What scale of measurement (nominal, ordinal, interval, or ratio) is used to measure the dependent variable?

   The scale of measurement is ratio scale.

Step-by-step explanation:

a) To identify the dependent variable you need to find the item, circumstance, concept, sense, time frame, or any category in an specific scientific research, that is going to be measured. In this particular case, the dependent variable measured is the effectiveness of the different study strategies used based by the number of correct answers on a test. This variable could be influenced by independent variables also.

b) The method by which we obtain the resulting values make the difference between a discrete variable and a continuous variable. If measuring is the used method, then it is a continuous variable, but if counting is the utilized method to get the correct number of correct answers, as it is stated in this case, then it is a discrete, finite and countable.

c) The measurements´ accuracy are given by the different scales or levels and they are classified as:

- Nominal

- Ordinal

- Interval

- Ratio

Interval and ratio scales data are similiar is also known as called metric, sharing units, and represent quantiy., therefore the scale of measurement used in this study is ratio scale.

Given f(x) = 3x + 4, what is f(8)? help me please A.
4

B.
8

C.
15

D.
28

Answers

Hello,

Answer D

f(8)=3*8+4=24+4=28


Can someone answer this question?

Answers

The inequality is: 5>x≥0

Step-by-step explanation:

We have to write the inequality one by one

The inequality symbols are used to write inequalities.

So,

5 is greater than x will be written as:

5>x

And

0 is less than or equals to x:

0≤x or x≥0

We have to combine the both inequalities so that the variable is not repeated. The inequality symbols have to be written carefully while writing the compound inequalities.

5>x≥0

Keywords: Inequality, Relationships

Learn more about inequality at:

#LearnwithBrainly

The table below shows data from a survey about the amount of time, in hours, high school students spent reading and the amount of time spent watching videos each week (without reading): Reading Video
3 1
3 2
4 3
5 4
6 6
7 7
10 8
12 8
14 9
30 15

Which response best describes outliers in these data sets?
A, Reading has a suspected outlier in the 30-hour value.
B. Reading has a suspected outlier in the 30-hour value, and video has a possible outlier in the 15-hour value.
C. Neither data set has suspected outliers.
D. The range of data is too small to identify outliers.

Answers

Reading: 3, 3, 4, 5, 6, 7, 10, 12, 14, 30
Video:      1, 2, 3, 4, 6, 7,   8,   8,   9, 15

                         Reading               Video
Minimum          3                               1
1st quartile       4                               3
Median             6.5                            6.5
3rd quartile      12                             8
Maximum         30                           15
IQR                    8                               5
Outliers             30                           no outliers

A, Reading has a suspected outlier in the 30-hour value. 

Answer:

The correct option is: A,B

Step-by-step explanation:

" An outlier is a odd value which on removing from the data leads to the less mean as calculated mean on including that value ".

There are total 10 data points.

  • The table for reading is given as:

3    3    4    5    6     7    10    12    14    30

The mean of this data is given by:

(3+3+4+5+6+7+10+12+14+30)/(10)=(94)/(10)=9.4

Also the mean after omitting the odd value i.e. 30 we get:

(3+3+4+5+6+7+10+12+14)/(9)=(64)/(9)=7.11

Hence, there is a change in its mean;

Hence the outlier for reading is 30.

  • The table for Video is given by:

1     2     3    4    6    7      8    8     9    15

The possible maximum value here is 15 so we will check whether it is an outlier or not.

The mean of this data is given by:

(1+2+3+4+6+7+8+8+9+15)/(10)=(63)/(10)=6.3

Also the mean after omitting the odd value i.e. 15 we get:

(1+2+3+4+6+7+8+8+9)/(9)=(48)/(9)=5.33

Hence, there is a change in its mean hence 15 is an outlier.

Hence option A and B are true.



If $85 is put in an account that gets 8.5% and I add $15 per year, how much will I have at the end of 8 years?

Answers

FV=PV(1+i)^n

FV =$ [85(1+0.85)^8]

FV=$ [85(1.85)^8]

FV= $ 222.21