sin^2A-cos^2B=sin2^B-cos^2A​

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

Using the trig identity

sin²x + cos²x = 1 , then

sin²x = 1 - cos²x

cos²x = 1 - sin²x

Consider the left side

sin²A - cos²B

= (1 - cos²A) - (1 - sin²B) ← distribute parenthesis

= 1 - cos²A - 1 + sin²B

= sin²B - cos²A

= right side , thus verified


Related Questions

Write the equation for the larger circle shown in the figure.

Write the equation for the smaller circle shown in the figure.

Answers

Answer:

See below for answers

Step-by-step explanation:

Given equation of the horizontal ellipse: [tex]\frac{x^{2}}{64}+\frac{y^{2}}{16}=1[/tex]

Standard form: [tex]\frac{x^{2}}{a^{2} }+\frac{y^{2}}{b^{2} }=1[/tex]

Values of a and b: [tex]\frac{x^{2}}{8^{2} }+\frac{y^{2}}{4^{2} }=1[/tex]

Therefore, the radius of the bigger circle is a=r=8 (half the length of the major axis) and the radius of the smaller circle is b=r=4 (half the length of the minor axis).

Given the equation for a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex], then:

The equation for the larger circle is [tex]x^{2} +y^{2} =8^{2}[/tex]

The equation for the smaller circle is [tex]x^{2} +y^{2} =4^{2}[/tex]

Help please! No links!

For the following box plot, determine whether the given numbers would be considered outliers.
(Use the "IQR X 1.5" method.)

A. A height of 61 in.

B. A height of 69 in.

C. A height of 74 in.

D. None of these would be considered outliers.​

Answers

Answer:

D option is your answer bro

Explain how to solve this.

Answers

Answer:

c=74

Step-by-step explanation:

48+58=106

180-106=74

Answer:

D is 122         A is 58          B is 48       C is 74

Step-by-step explanation:

pls people my brother needs this ik its not for me but still pls.

Answers

Answer:

hey becca did u get yur account thing fixed, ily

Step-by-step explanation:

A piece of fabric is for 1/6 yards long if 2 1/4 yards are cut off The Yards remain I'll see you

Answers

Answer:

2 1/12 yds remain

Step-by-step explanation:

1. You first change the denominators, so then the fractions will be alike. 2 1/4-1/6

2. Find the LCD or Least Common Denominator. 12 can go into and it is alike, so 2 3/12-2/12

3. Now we can find the answer!

So the answer is 2 1/12

Please mark me brainliest!

A line segment AB is increased along its length by 25% by producing it to C on the side of B . If A and B have the coordinates ( 1 , 2 ) and ( 5 , 6 ) respectively then find the coordinates of C.
Ans : ( 6 , 7 )

*Please show your workings* ​

Answers

Answer:

C = (6, 7)

Step-by-step explanation:

Coordinates of point B in terms of A and C:

x = x₁ + (x₂ - x₁)*a/(a + b)y = y₁ + (y₂ - y₁)*a/(a + b)B(x, y) = (5, 6), A(x₁, y₁) = (1, 2), C(x₂, y₂) = ?

Find the coordinates:

5 = 1 + (x₂ - 1)*4/5  ⇒ 4 = 4/5*(x₂ - 1) ⇒ x₂ - 1 = 5 ⇒ x₂  = 66 = 2 + (y₂ - 2)*4/5 ⇒ 4 = 4/5(y₂ - 2) ⇒ y₂ - 2 = 5 ⇒ y₂ = 7C = (6, 7)

10th grade level LT1

Answers

Answer:

? = 3.

Hope this will help you.

1. If 50% of x is 20, what
is 10% of c ?

A. 4
B.16
C. 20
D.40

Answers

Answer:

b???????????????????????????

Step-by-step explanation:

help me again with this question please.

Answers

Answer:

The answer is A..........

Answer:

Step-by-step explanation:

In which number does the digit 2 have a value that is ten times as great as the value of the digit 2 in the number 135,284?

PLEASE HELP!

Answers

Answer:First and foremost, we should note that the value of the digit 2 in the number 135,284 is (200). Therefore, the value that is ten times as great as the value of the digit 2 in the number 135,284 would be:

= 10 × 200

= 2000

Therefore, the 2 must be in the thousands place. This can be seen in numbers such as:

172748.

Step-by-step explanation:YW:)

Jay went on a diet and lost 5 pounds each month. Find Jay's net weight change in 6 months.

Answers

Answer:

a 30 pound weight change in 1 month

Step-by-step explanation:

5 pounds

--------------- times 6 months  results in a 30 pound weight change in 1 month

 1 month

What is the gradient of the graph shown?
Give your answer in its simplest form.

Answers

Answer:

use desmos graphing calculator to help you find the answers

Step-by-step explanation:

x axis=(2,0)

y axis=(0,-4)

y intercept=-4

slope=3/2

Does anyone know which answer it is in the image? Doesn’t require any work

Answers

Answer:

b

Step-by-step explanation:

Answer:

It's the second one

What is her average rate of change, in miles per hour, during the interval of 0.75 to 1.00

Answers

Answer:

2

Step-by-step explanation:


someone help me with this I would really appreciate it !

Answers

Answer:

V = 126 [tex]mi^{3}[/tex]

Step-by-step explanation:

Volume of a pyramid is V = [tex]\frac{lwh}{3}[/tex]

l = length

w = width

h = height

width is 6 mi

length is 7 mi

height is 9 mi

V = [tex]\frac{6*7*9}{3}[/tex]

V = 126 [tex]mi^{3}[/tex]

Help me pls TwT, I’m terrible at math

Answers

Answer:

The answer is 49

Step-by-step explanation:

Rate of change=  (f(b)-f(a))/(b-a)

a = 3 and b = 5

Rate of change = (125-27)/(5-3)

= 49

A square photo has a side length of 0.17 foot. The photo is enlarged by doubling the dimensions. Then it is enlarged again by tripling the new dimensions.

Answers

Calculate the side length of the enlarged picture

Answer:

Hence, final picture will have a side length of 1.02 foot

Step-by-step explanation:

Side length of square photo, s = 0.17

Original dimension = (0.17 by 0.17)

Enlarged photo = double the original dimension:

2 * (0.17 * 0.17)

(0.34 * 0.34)

Second enlargement = Tripling the new dimension:

3 * (0.34 * 0.34)

(1.02 * 1.02)

Hence, final enlarged dimension = (1.02 * 1.02)

Hence, final picture will have a side length of 1.02 foot

please answer quickly. thanks in advance.

Answers

Answer:

KM=60°

Step-by-step explanation:

The average of arc LN and arc KM is equal to 110.

[tex]\frac{160+KM}{2} =110[/tex]

160+KM=220

KM=60

Determine which translations would map Figure K into Figure L.

Answers

Answer:

Right; 5 Units

Down; 3 Units

Step-by-step explanation:

Self explanitory, please correct me if I made a typo, mistake in answer, etc.

Answer:

right 5 units and down 3

Step-by-step explanation:

just take a point and count how many spaces it goes moving it to its corresponding point on the new image

PLS HELP NOBODY WILL HELP ME JUST SPAM ANSWERS I WANNA CRY JUST PLS ANYONE? ILL DEFINETLY GIVE BRAINLIEST : (

Answers

Just think about this.  35 + ( 20 * y ) I'm not really sure but this is the best I can do.

Find the volume of the rectangular prism that has a width of 3 cm, a length of 8cm, and a hight of 7cm

Answers

Answer:

V = 168 cm^3

Step-by-step explanation:

L length - 8cm

W width - 3 cm

H height - 7 cm    

V = w h l   (Right rectangular prism)

Which expression is a factor of 9,2- 4r + 1? F3r-1 Gr-1 H 9r - 1 I J There are no real factors.​

Answers

Answer:

use photomath bestie

im need more help besties

I’m so d*mb lol

anyways giving brainliest

:)

Answers

Well , i took a while to understand the question , lol . I guess the answer is. 7 students

Answer: 1

Step-by-step explanation: i might be wrong most likely i am because im dmb to

A jar contains 4 blue marbles, 6 green marbles, and 10 white marbles. If a marble is drawn from the jar at random, what is the probability that this marble is green? (In Percent)

Answers

Answer: 1/3 or 33%

Step-by-step explanation:

There are 20 total marbles, 6 are green. 20 divided by 6 is 3.333e3

What is the coefficient of the term of degree 1 in the polynomial?


2x^8 - 5x^2 + 3x+ 4

Answers

Answer:

3

Step-by-step explanation:

The term with a degree of 1 is 3x. The coefficient of that term is 3.

Identify the a, b, and c of the following quadratic: −3x2+2x−15

Answers

Answer:

a = -3

b = 2

c = -15

Step-by-step explanation:

You lip a coin 20 times. Predict about how many times would you expect to flips
heads (P heads)?
about
times

Answers

10/20 times because there is a 50/50 chance that heads is flipped each time

Select the correct answer.
Solve the equation using the method of completing the square.
2x^2 + 163 - 8 = 0

Answers

Answer:

D

Step-by-step explanation:

[tex]2x^2+16x-8=0[/tex]

Simplify:

[tex]x^2+8x=4[/tex]

Rewrite in the form [tex](x+a)^2=b[/tex]:

[tex]x^2+8x=4[/tex]

Add [tex]4^2[/tex] to both sides:

[tex]x^2+8x+4^2=4+4^2[/tex]

[tex]x^2+8x+4^2=20[/tex]

[tex]\left(x+4\right)^2=20[/tex]

[tex]x+4=\sqrt{20}[/tex] or [tex]x+4=-\sqrt{20}[/tex]

x = -4±[tex]\sqrt{20}[/tex]

x= -4±[tex]2\sqrt{5}[/tex]

Todd can run 1/2 a mile in 1/12 of an hour. what is todd’s rate in miles per hour?

Answers

If he runs 1/2 a mile in 5 minutes then 60 minutes would be 5x12 and 1/2x12 would be 6 so he can run 6 miles per hour

Answer:

Step-by-step explanation:

(1/2 mile)/(1/12 hour) = 12/2 = 1 mph

 

How long it takes someone to walk a trail depends on the length of the trail, which you did not provide.  The formula is distance = rate*time, so time = distance/rate.  You know the rate = 1 mph

Tam thinking of two numbers. The first number is 1 more
than twice the second number.
The sum of the two numbers is 25.
What are my two numbers?

Answers

Answer:

First number is x

Second number is y

Step-by-step explanation:

x = 2y + 1

x + y = 25

(2y + 1) + y = 25

3y = 24

y=24/3

y = 8

x = 2(8) + 1

x = 16+1

x=17

Hope this helps!!

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