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umka2103 [35]
3 years ago
5

Prove that (Cosx-Cos³x)/Sinx=SinxCosx​

Mathematics
1 answer:
77julia77 [94]3 years ago
4 0

Answer:

(Cosx-Cos³x)/Sinx=SinxCosx

Step-by-step explanation:

sin3x−cos3x

=sinxsin2x−cosxcos2x

=sinx(1−cos2x)−cosx(1−sin2x)

=sinx−sinxcos2x−cosx+cosxsin2x

=sinx−cosx+(sinx−cosx)sinxcosx  

=(sinx−cosx)(1+sinxcosx

You might be interested in
Complete the following table using the equation: y = -2x²
quester [9]

The parabola is a downward parabola which is passing through origin and leading coefficient of the negative 2.

<h3>What is the parabola?</h3>

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

The equation of a quadratic function, of vertex (h, k), is given by:

y = a(x – h)² + k

where a is the leading coefficient.

The equation of the parabola will be

y = -x²

The given parabola is a downward parabola which is passing through origin and leading coefficient of the negative 2.

The graph of the function is given below.

More about the parabola link is given below.

brainly.com/question/8495504

#SPJ1

4 0
2 years ago
What is the area of the triangle?<br> 16<br> 8<br> 10
sertanlavr [38]

Answer:

64

Step-by-step explanation:

Find the area of both triangles inside the bigger triangle and add them together.

Use the Pythagorean theorem to find the missing length of the leg in the smallest triangle:

a² + b² = c²

8² + b² = 10²

64 + b² = 100

36 = b²

6 = b

Calculate the area of the smaller triangle:

1/2(<em>b</em>x<em>h</em>)

1/2(6 x 8)

1/2(48)

24

Calculate the area of the bigger triangle:

<em>We know that the longer leg is 10 units because we were able to subtract the length of the smaller triangle's leg from 16.</em>

1/2(<em>b</em>x<em>h</em>)

1/2(10 x 8)

1/2(80)

40

Add both areas to find the area of the largest triangle:

40 + 24 = 64

3 0
3 years ago
2+2=??? PLEASE HELP ME THIS IS SO HARD PLEASEEE!!!!!​
fiasKO [112]

Answer: 2 + 2 = 4

Step-by-step explanation: Let's say you have 2 cars, and you friend has 2 cars, for your birthday, your friend gives you his 2 cars, so now in total you have 4 cars, hope this helped! -Mason

4 0
3 years ago
PLEASE HELP I POSTED LIKE 2 HOURS AGO WITH THIS QUESTION AND I NEED HELP:)
garik1379 [7]

A system is inconsistent when there are no solutions between the two equations. Graphically, the lines will be parallel (they never meet!) and the slopes will be the same. But the y-intercepts will be different.

Let's look at the four equations, with each solved as needed, into y = mx + b form.

A: 2x + y = 5

y = 5 - 2x

y = -2x + 5

Compared to y = 2x + 5, the slopes are different, so this system won't be inconsistent. Not a good choice.

B: y = 2x + 5

Compared to y = 2x + 5, the slopes are the same and the y intercepts are the same. This system has infinitely many solutions. Not a good choice.

C: 2x - 4y = 10

-4y = 10 - 2x

-4y = -2x + 10

y = 2/4x -10/4

Here the slopes are different, so, like A this is not a good choice.

D: 2y - 4x = -10

2y = =10 + 4x

2y = 4x - 10

y = 2x - 5

Compared to y = 2x + 5 we have the same slopes and different y intercepts.  The lines will be parallel and the system is inconsistent.


Thus, D is the best choice.

7 0
3 years ago
Read 2 more answers
Type the correct answer in each box. If necessary, use /for the fraction bars
Vikentia [17]

Answer:

The experimental probability of rolling an odd number is 60%, which is 10% more than the theoretical probability.

Step-by-step explanation:

The complete question is:

Type the correct answer in each box. Use numerals instead of words. If necessary, use/ for the fraction bar(s).

A special 8-sided die is marked with the numbers 1 to 8. It is rolled 20 times with these outcomes.

3, 4, 5, 2, 7, 1, 3, 7, 2, 6, 2, 1, 7, 3, 6, 1, 8, 3, 5, 6

The experimental probability of rolling an odd number is _%, which is _% more than the theoretical probability.

Solution:

The possible outcomes of rolling an 8-sided die are:

S = {1, 2, 3, 4, 5, 6, 7, 8}

The odd numbers are:

Odd = {1, 3, 5, 7} = 4 outcomes

The theoretical probability of rolling an odd number is:

P_{T}(\text{Odd})=\farc{4}{8}=\frac{1}{2}=50\%

Now from the given 20 outcomes the odd values are:

Odd = {3, 5, 7, 1, 3, 7, 1, 7, 3, 1, 3, 5} = 12 outcomes

Compute the experimental probability of rolling an odd number as follows:

P_{E}(\text{Odd})=\frac{12}{20}=\frac{3}{5}=60\%

Thus, the experimental probability of rolling an odd number is 60%, which is 10% more than the theoretical probability.

6 0
3 years ago
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