sin^2x + sin^2x + cos²x

Answers

Answer 1

Answer:

Answer:

A. 2 sinx cosx - 1 + 2 sin^2 x.

Step-by-step explanation:

sin2x = 2 sinx cosx

cos2x = cos^2x - sin^2x

So sin2x - cos2x =  2 sinx cosx - ( cos^2x - sin^2x)

But cos^2 x = 1 - sin^2 x, so we have:

2 sinx cosx - (1 - sin^2 x - sin^2x)

= 2 sinx cosx - 1 + 2 sin^2 x.


Related Questions

Consider a geometric sequence with a first term of 4 and a fourth term of -2.916.
a) Find the common ratio of this sequence.
b) Find the sum to infinity of this sequence.

Answers

Answer:

a) Find the common ratio of this sequence.

Answer: -0.82

b) Find the sum to infinity of this sequence.

Answer: 2.2

Step-by-step explanation:

nth term in geometric series is given by [tex]4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{0.549} \\r = 0.82[/tex]

where

a is the first term

r is the common ratio and

n is the nth term

_________________________________

given

a = 4

4th term = -2.196

let

common ratio of this sequence. be r

[tex]4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{-0.549} \\r = -0.82[/tex]

a) Find the common ratio of this sequence.

answer: -0.82

sum of infinity of geometric sequence is given by = a/(1-r)

thus,

sum to infinity of this sequence = 4/(1-(-0.82) = 4/1.82 = 2.2

264 equals the sum of 96 and t
Write the sentence as an equation.

Answers

Answer:

96+t=264

Step-by-step explanation:

ANSWER: t+96=264
No explanation needed!

brainliest and 60 points ;)

8 * 65 * 7 * 321 * 0 * 1=??

Answers

Answer: 0

Step-by-step explanation:

Any expression multiplied by 0 = 0

please help 8(10+8)​

Answers

Answer:

its 180.... that's the answer

Answer:

it is 80 + 64

Step-by-step explanation:

All you have to do is multiply 8 by the numbers inside the parenthesis

Please help me :( someone anybody just once I won’t ask again

Answers

Answer:

1) 77

2) -11

3) -11

4) 7

5) 29

Step-by-step explanation:

Just sub the x into the equation.

*I recommend checking my answers, but this is what I would put/

Does anyone know this!? Pick the one the correctly describes it!
If its correct ill mark you as the best answer!

Answers

Answer:

d- the slope is undefined

Step-by-step explanation:

How do you work out 3^2+2^3 indices

Answers

3^2 +2^3

9+2^3

9+8

Answer : 17

A scale drawing of an office space uses a scale of 1 in. : 4 yd. The scale drawing has an area of 12 square inches. What is the area of the actual office space?

Answers

Answer: 48 yards

Step-by-step explanation:

From the question, we are informed that a scale drawing of an office space uses a scale of 1 in. : 4 yd.

When the scale drawing has an area of 12 square inches, to get the area of the actual office space, we multiply the given number by 4 since the actual office space is 4× the scale drawing. This will be:

= 12 × 4 yards

= 48 yards

What is the value of x

Answers

Answer:

98 degrees

Step-by-step explanation:

First calculate the entire triangles angles:

180 - 53 - 45 = final angle of triangle

82 = final angle of triangle

Using the straight line rule for angles, x and the inner angle must equal to 180 degrees:

180 - 82 = x

98 = x

Angle x is 98 degrees.

Answer Both please and thank you
2(n + 5) = −2

144 =−12(x + 5)

Answers

Answer:

1. n=-6

2. x=-17

Step-by-step explanation:

Plz help I don’t get what this is

Answers

Answer:

A) 98.94 sq. meters

B) 42 sq. meters

Step-by-step explanation:

A) So first we calculate the area for the square which is 15*20 = 300. Then we calculate the area of the circle which is pi*r^2 and in this case the radius is 4 which is 1/2 of 8. The area is approx. 201.06. Then we subtract that from 300. 300-201.06 = 98.94. The answer for A) is approx. 98.94

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

B)First we calculate the area of the whole square which is 8*6 = 48. Then the area of the garden which is 2*3 = 6. 48-6 = 42. The answer is B) is 42 then.  

please help me with this! thank you so much!

Answers

Answer: Look at the photo

Step-by-step explanation:

[tex](3x + 3) + (4x + 2) = 180\\7x + 5 = 180\\[/tex]

Substract 5 from both sides

[tex]7x = 175[/tex]

Divide by 7 from both sides

x = 25

(3x+3) = (4x+2)
-3x -3x
3=1x+2
-2 -2
1=x
That’s how you get x
3•1 +3 = 6

4•1 + 2 =6
I’m pretty sure that’s right it’s been a minute

What is the slope of the line that passes through the points (4, 6) and
(-16, -18)?

Answers

Answer:

-3 / 5

Step-by-step explanation:

18-6 / -16-4

12 / -16-4

12 / -20

-3 / 5

values of x and y
to
135°

Answers

Step-by-step explanation:

Answer:

xy/100=135

xy=13500

x=13500/y

Without showing the graph, explain how Maria’s graph of the two lines proves Peter is not correct.

Answers

Answer:

90

Step-by-step explanation:

90

which posture or theorem proves that these two triangles are congruent

ASA Congruence
AAS Congruence Theorem
HL Congruence Theorem
SAS Congruence postulate ​

Answers

Answer:

AAS Congruence Theorem

Solve by substitution

Answers

Answer:

(1,4)

Step-by-step explanation:

Answer: x = 1, y = 4

Steps: 3y + 4x = 16,  -2x + y = 2

Isolate y for 3y + 4x = 16:   y = (16 - 4x ÷ 3)

Substitute y into the other equation (-2x + y = 2):   -2x + (16 - 4x ÷ 3) = 2

Simplify: 16 - 10x ÷ 3 = 2

Isolate x for 16 - 10x ÷ 3 = 2:   x = 1

Substitute x = 1 into  y = (16 - 4x ÷ 3):  y = 16 - 4x · 1 ÷ 3

y = 4, x = 1

Plz mark brainliest:)

What is the y-intercept in this problem?

Answers

Answer:

(0, -1) I think

Step-by-step explanation:

I have not done this in a while

Hope this helps, though.

The y-intercept is -1

Simplify (1/2)^4.......................................................................

Answers

Answer:

[tex]-1/16[/tex]

Step-by-step explanation:

Answer:

1/16

Step-by-step explanation:

(1/2 × 1/2 × 1/2 × 1×2)

(1/4 × 1/4)

(1/16)

12 X 0.4

Please help

Answers

Answer:

12 times 0.4 equals 4.8

Step-by-step explanation:

becase if u add 0.4 together 12 times thus will give you 4.8

12*4 = 48

48/10 = 4.8

find x

3x
2x+40
x+50
4x

Answers

Answer:

27

Step-by-step explanation:

The sum of all exterior angles of any quadrilateral= 360°

3x+2x+40+x+50+4x = 360°

11x + 90 = 360°

11x = 360 - 90

10x = 270

x = 270/10

x = 27

the population of China is about 1.4 x 10 ^ 9 people. Julie grew up in a town with a population of about 7,000 people. How many times greater is the population of China than Julies town? Please answer this in scientific notation​

Answers

Answer:

200000

Step-by-step explanation:

I believe that 200000x7000 = 1400000000 (The answer to the China population equation), therefore should be correct. Hope this helped.

Would the answer to this question be an rational or irrational number

Answers

Answer:

I believe rational

Step-by-step explanation:

Have a brainly day :D

What is the factored form of 5x − 625x4?

A.
5x(1 + 5x)(1 − 5x + 25x2)
B.
5x(1 − 5x)(1 + 5x + 25x2)
C.
(1 − 5x)(1 + 5x + 25x2)
D.
(1 + 5x)(1 − 5x + 25x2)

Answers

Answer:

B)

Step-by-step explanation:

Answer:

I think b

Step-by-step explanation:

Help me please !!!!!!!!

Answers

Answer: Since x is 157 degrees the missing value,m, is 23 degrees because a line is 180 degrees, n is also 23 degrees so it would be the same

Step-by-step explanation:

What is x equal to? And what is the scale factor?

Answers

Answer:

1. 225 km

2. 95 km

3. 412.5 km

Step-by-step explanation:

For this one, it is saying that for every 2 cm, that is 50 km. So if you look at 9 cm, you can divide that by 2 cm to get 4.5 cm, this is what you can multiply by 50 km to get 225. Or you can look at it this way, for every 1 cm, the actual distance is 25 km. Then you can multiply each value by 25 to get your answer. Whichever one works for you.

Simplify 4/9 - 5/12 + 1/4

Answers

Answer:

5/18

Step-by-step explanation:

The simplified answer is 5/18

Step-by-step explanation:

the answer is

0.27777777777

3.72 plus 6.0064
(this is just part of my question.)

Answers

the answer is 9.7546

Answer:

9.7264

Step-by-step explanation:

3.72 + 6.0064 = 9.7264

I hope this helps!

I WILL BRAINLEIST PLEASEMegan earned $4 an hour for babysitting. She earned $16 on Saturday. How many hours did she babysit?

Answers

Answer:

4 hours  

Step-by-step explanation:

16/4= 4

x+6y=-36 solve for y​

Answers

Answer:

y=−1/6x−6

Step-by-step explanation:

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