1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
IgorLugansk [536]
2 years ago
6

1-sina/cosa=cosa/2-sina/2÷cosa/2+sina/2​

Mathematics
1 answer:
Serhud [2]2 years ago
5 0

Step-by-step explanation:

Let's take the RHS,

we've,

<h3>(<u>Cosa</u><u>/</u><u>2</u><u> </u><u>-</u><u> </u><u>sina</u><u>/</u><u>2</u><u>)</u></h3><h3>(<u>Cosa/</u><u>2</u><u> </u><u>+</u><u> </u><u>sina</u><u>/</u><u>2</u><u>)</u></h3>

Let's Rationalise the Denominator.

we get,

<h3>(<u>Cosa/</u><u>2</u><u> </u><u>-</u><u> </u><u>sina</u><u>/</u><u>2</u><u>)</u><u>^</u><u>2</u></h3><h3><u>(</u><u>cosa</u><u>/</u><u>2</u><u>)</u><u>^</u><u>2</u><u> </u><u>-</u><u> </u><u>(</u><u>sina</u><u>/</u><u>2</u><u>)</u><u>^</u><u>2</u></h3>

The numerator is in form of (a-b)^2 and the denominator is in form of a^2-b^2. Now,

By formula,

<h3>(<u>Cosa/</u><u>2</u><u>)</u><u>^</u><u>2</u><u> </u><u>-2cosa</u><u>/</u><u>2</u><u>.</u><u>s</u><u>i</u><u>n</u><u>a</u><u>/</u><u>2</u><u> </u><u>+</u><u> </u><u>(</u><u>sina</u><u>/</u><u>2</u><u>)</u><u>^</u><u>2</u> </h3><h3> cosa</h3>

Here I substituted Cosa in place of (Cosa/2)^2 - (sina/2)^2 because it's the formula of cosa in sub multiple angle form.

<h3>In the numerator, </h3>

(sina/2)^2 + (Cosa/2)^2 =1.........( by formula)

so we have,

<h3><u>1</u><u> </u><u>-</u><u> </u><u>2</u><u>s</u><u>i</u><u>n</u><u>a</u><u>/</u><u>2</u><u>.</u><u>c</u><u>o</u><u>s</u><u>a</u><u>/</u><u>2</u></h3><h3>Cosa</h3>

<h3 /><h3 /><h3><u>1</u><u> </u><u>-</u><u> </u><u>sina</u> {because 2sina/2.cosa/2=sina)</h3><h3>Cosa</h3>

LHS proved.

Thank You.

You might be interested in
Question 3
Yuliya22 [10]

Answer:

Median and Mode.

Step-by-step explanation:

The data could be represented in table form in ascending order as:

 <u>Number of meals</u>                      <u> Frequency</u>

      2                                                     2

       3                                                     3

       4                                                     2

       19                                                    1`

On the basis of the data now we find the mean, median and mode:

Mean= average of the data

Mean=\dfrac{2\times 2+3\times 3+4\times 2+19\times 1}{2+3+2+1}=\dfrac{40}{8}=5

Hence mean is 5.

Median is the central tendency of the data

on looking at our data we see that the Median=3.

also the mode of the data is the entry corresponding to the highest entry.

Hence the highest frequency is 3 and the corresponding value is 3.

Hence, Mode=3

Hence, the most appropriate measure of center for this situation is :

Median and Mode.

4 0
2 years ago
Each person in the United States eats about 65 fresh apples each year. Based on this, how many apples do 3 families of 4 eat eac
11Alexandr11 [23.1K]

(65 apple/person) x (4 person/family) x (3 families) =

       (65 x 4 x 3)  apples  =  780 apples

8 0
3 years ago
An island has 12 fur seal rookeries to estemate the fur seal pup population in rookery A, 4727 fur seal pups were tagged in earl
REY [17]

Answer:

14,181

Step-by-step explanation:

Let the total population of seal pups =p

Ratio of Tagged to Total seal pups observed is given as:

200:600

Population of Tagged to Total Population therefore is:

4727: p

Equating both ratios

200:600=4727:p

200/600=4727/p

200 X p= 4727 X 600

p = (4727 X 600)/200

p=14,181

The total population of fur seals pups is 14,181

7 0
2 years ago
Perfect squares between 100 and 500
seropon [69]
<span>There are 12 perfect squares between 100 and 500:

11 * 11 = 121
12 * 12 = 144
13 * 13 = 169
14 * 14 = 196
15 * 15 = 225
16 * 16 = 256
17 * 17 = 289
18 * 18 = 324
19 * 19 = 361
20 * 20 = 400
21 * 21 = 441
22 * 22 = 484 </span>
5 0
3 years ago
Which number is in the solution set of the inequality x &gt; -4<br><br> -2<br> -6<br> -8<br> -10
Alik [6]

Answer:

-2

Step-by-step explanation:

The inequality is x is greater than -4.

-6, -8, and -10 are all less than -4.

-2 is the only one greater than.

6 0
2 years ago
Read 2 more answers
Other questions:
  • How do you find the area of a triangle?
    15·2 answers
  • The table below shows the heights of several books. Jean stacks a dictionary on top of her novel. How high is the stack of the t
    11·1 answer
  • Can someone please help me with this? This is very hard!! :(
    14·2 answers
  • Solve for X? 3x−8/2=x−6
    8·1 answer
  • Write 0.00034 as a multiple of a power of 10.
    5·2 answers
  • Someone please help me thank you
    12·1 answer
  • What is the scale factor?
    11·1 answer
  • Henry's soccer team is trying to raise $864 to travel to a tournament in Florida, so they decided to host a pancake breakfast. E
    7·1 answer
  • What is -2.4 + 6.7 - 3.2 <br><br> Answers: -11.3, 1.1, 2.3, 7
    14·2 answers
  • Please answer this right now, beacause i really need it to submit this righttt now :(
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!