Tan^2xsin^2x=tan^2x-sin^2x
Prove identity

Answers

Answer 1

Answer:

See below for proof

Step-by-step explanation:

[tex]\tan^2x\sin^2x\\\\(\sec^2x-1)(\sin^2x)\\\\(\frac{1}{\cos^2x}-\frac{\sin^2x}{\sin^2x})(\sin^2x)\\\\(\frac{\sin^2x-\sin^2x\cos^2x}{\sin^2x\cos^2x})(\sin^2x)\\\\\frac{\sin^2x-\sin^2x\cos^2x}{\cos^2x}\\\\\frac{\sin^2x}{\cos^2x}-\sin^2x\\\\\tan^2x-\sin^2x[/tex]

Hence, the identity is proven


Related Questions

Tim had 85$ to spend on 6 books. After buying them he had 13$. How much did each book cost. Write using two step equations

Answers

Answer:

he spent 12 dollars on each book

Step-by-step explanation:

minus 13 from 85 you get 72 and then divide 72 by 6

Answer:

12$ each

Step-by-step explanation:

Tim had 85$ to spend on 6 books.

After buying them he had 13$.

   85$ - 13$ = 72$

How much did each book cost.

    72$ / 6books = 12$ each book

Find the average of this set of numbers.16, 20, 30, 30
A) 14
B) 15
C) 25
D) none of the above

Answers

Answer:

D) none of the above

Step-by-step explanation:

To find an average, you add up all of the numbers and divide by how many numbers there were. for example, in this equation, the sum of all of the numbers was 96. then I divided 96 by 4(the amount of numbers shown)

hey guy can you please explain this to me ​

Answers

Answer:

D) 2

Step-by-step explanation:

it think it's D because the size of the triangle was doubled

2 was matched to 4 and

1 was matched to 2

please solve for x please use statement reason

Answers

AE || BC

===》 DCB angle = DAE angle

AC /

__________________________________

Thus :

DCB angle = x

And also we know that the submission of interior angles of any triangle must equals to 180 degrees so :

In BCD triangle :

B + C + D = 180

x + x + D = 180

D = 180 - 2x

__________________________________

In the other hand we know that :

BDC angle + BDA angle = 180

because they make a straight line together so ;

180 - 2x + 50 = 180

- 2x = 180 - 230

- 2x = - 50

x = 25

And we're done...

Have a great time ♡

What is the domain for the following function?
y=-x+1
x²+x-6
X-
O A. {X-1
O B. (x*-3
O c. {# -3;x # 2)
OD. x+0)

Answers

Ans is c because if X has these value it will be infinity

A point located at (5, 3) is translated down 4 units and right 2 units. What are the coordinates of the image?

(9, 5)
(1, 5)
(7, -1)
(3, 7)

Answers

Answer:

(7, -1)

Step-by-step explanation:

Let's remember our key words:

Down/up means to translate the y axis.

Right/left means to translate the x axis.

Now that we know what to do, let's look at our equation.

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

A point located at (5, 3) is translated down 4 units and right 2 units.

Let's work on the x axis first.

It says that you are translating to the right. That means your value is going higher, so you go to the right 2. 5+2=7

So now that we have our x, (7), let's rewrite our equation. (7, 3)

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

Next, let's do y.

The points are translating down. That means our value will lessen.

Since we are going down on our y axis by 4, we will subtract our current y coordinate with 4. 3-4=-1.

Now we know our y, so let's rewrite our equation with our new y. (7, -1).

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

Our final coordinates are (7, -1).

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

I hope this helps!

-No one

Help help help math math math

Answers

Answer:

adjacent

Step-by-step explanation:

share the same side

Answer:

adjacent

Step-by-step explanation:

Find the mean of the data.

55,64,58,43,49,67 Please!!

Answers

55 and 67 i hope this helps

Is quadrilateral ABCD angle is equals to 60 degrees Angle B is equals to 80 degrees and angle C is equals to 120° find angle d

Answers

Total angle in a quadrilateral=360 degrees
Angle D=360-(60+80+120)
=100 degrees

Help help math math help

Answers

Answer:

The answer to this equation is 2

Step-by-step explanation:

x-2 = 3(2-x) \4

x-2= 6 -3x/4

cross multiply

4(x-2)= 6-3x

4x-8 = 6-3

collect like terms

4x+3x = 6+8

7x = 14

divide both sides by 7

7x/7= 14/7

x = 2

Solve for n:

n
---- = 1
20

A. n = 23
B. n = 15
C. n = 20
D. n = 32

Answers

Answer:

The answer is C

Step-by-step explanation:

[tex]\frac{n}{20}*20 = 1 * 20[/tex]

1 x 20 = 20

Answer:

C) n = 20

Step-by-step explanation:

hope it helps!

consider the equation 2 x +9 y = -18 A line parallel to the above line would have a slope of_________
A line perpendicular to the above line would have a slope of ________________

Answers

Answer:
A line parallel to the above line would have a slope of -2/9
A line perpendicular to the above line would have a slope of 9/2
Step-by-step explanation:
2x+9y=-18
=>y=-2/9 x-2

if julie make 18 baskets how many baskets does kari make how many baskets do they make in all

Answers

Answer:

18x

Step-by-step explanation:

j=18

k=x

18xor18

I do not understand this question

Write the value of (2 +√ 2) (2 -√3)

Answers

[tex]\left(2 + \sqrt 2 \right)\left(2-\sqrt 3 \right)\\\\=4- 2\sqrt 3 + 2 \sqrt 2 - \sqrt 6\\\\=0.91484.....[/tex]

kit is going to build a 3 feet walk around a pool that measures 20 feet by 15 feet find the area of the walk in square feet

Answers

Answer:

246 sqft

Step-by-step explanation:

To find the area of the outer rectangle, add 2(3) to 15 and 20. 15 turns into 21 and 20 turns to 26. Next, do 21 x 26 to find the whole area (which is 546). The area of the inner rectangle is 20 x 15 (which is 300). Finally, do 546 - 300 which is 246.

Answer:

I think it maybe 134.2

because when u like try to to multiply and sy

The problem is write you answer using ONLY positive exponents

Answers

Answer:

z^10/z^5 = z^5

Step-by-step explanation:

if it is divide, you minus, so z^10/z^5 is z^5.

Which is the graph of 4x – 3y = 12?

Answers

Answer:

it is the last graph

Step-by-step explanation:

Simplify Sinx + cosx/ cos²x - sin²x​

Answers

[tex]\dfrac{\sin x + \cos x}{\cos^2 x - \sin^2 x}\\ \\\\=\dfrac{\sin x + \cos x}{(\cos x + \sin x )\\\\(\cos x - \sin x)}\\\\\\=\dfrac{1}{\cos x - \sin x}[/tex]

show how you know, thank you :)
~giving brainliest!~

Answers

Answer:

V≈180.96

Step-by-step explanation:

An amount of R351 is made up with 114 coins (R2 coins and R5 coins only). How many R2 coins are there? How many R5 coin are there?​

Answers

Answer:

41

Step-by-step explanation:

For this, you have to make two equations;

One that calculates the amount of coins

and one that calculates the amount of R

I'm going to set

R2 = x

R5 = y

To make this a bit easier to look at

So to do the number of coins, you want to do this:

x + y = 114

This is saying that the total amount of R2 coins plus the total amount of R5 coins will add up to 114

Then, you want to calculate the worth of them.

2(x) + 5(y) = 351

This is saying that for ever R2 coin there is, it will increase the total by 2, and every R5, it will increase the total by 5. When you add these together, it will come out to 351.

Then you have to solve the system of equations:

x + y = 114

2x + 5y = 351

-2 * (x + y = 114)

2x + 5y = 351

-2x + -2y = -228

2x + 5y = 351

3y = 123

y = 41

Since y is the amount of R5 coins, we know we have 41 R5 coins.

So the answer is

41

Label each point on the number line with the correct value.
Click each dot on the image to select an answer. Choices:

Answers

Answer:

dot A is 0.62 dot B is 7/9 and dot C is 10/9

Step-by-step explanation:

Find the length of each arc shown in red. Leave your answer in terms of pi. 110 4in

Answers

The length of the arc shown in red is

Step-by-step explanation:

step 1

Find the circumference of the circle The circumference is equal to we have substitute

step 2

Find the length of the arc in red Remember that the length of the circumference subtends a central angle of 360 degrees so by proportion find the length of the arc by a central angle of 110 degrees Simplify

16. What is the area of the shaded region in terms of Tr? [20 points]

Answers

Area of the circle outside
= πr2
= π(5)2
=25 π

Area of the bigger circle inside
= π x(3)2
= 9 π
Area of the smaller circle inside
= π x (2)2
= 4 π

Area of shaded region
= 25π - 9π - 4π
= 12π square unit

One tube of paint covers 1,400 square inches of ramp. Based on this, how many tubes of paint will be needed to paint the ramp?

Use your answer from the question above to help you answer this question.

my answer above was
2,905 square inches

Answers

The tubes of paint that would be needed to paint the ramp with an area of 2905 inches is 3 tubes of paint

What is division?

Division is a mathematical operation that is used to determine the quotient of a number. The sign used to represent division is ÷.

What is the number of tubes of paints needed?

2905 / 1400 = 2.075 tubes of paint

To learn more about division, please check: https://brainly.com/question/194007

Answer:

you really go to the cca

Step-by-step explanation:

you really go to the cca

Which of the following is described below?
This object is infinitely small. It is
comprised of a single location.
B. Line
A. Point
D. Plane
C. Ray

Answers

Answer:

A. Point

Step-by-step explanation:

A point is infinitely small and comprised of a single location.

hope this helps!! p.s. i really need brainliest :)

The object that is infinitely small among the option is a point. Option A is correct.

What is standard measurement?

All over the world, most things are in use as of common quantity, so people all over the world agree that they have to follow a common system of measurement and that the common system of measurement is called standard measurement.

Here,
The object that is infinitely small among the option is a point. Because there is no instrument that can measure the point. Since a point is nothing but a demonized dot. While line, ray, or plane are infinitely long and their measure can be possible.

Thus, the object that is infinitely small among the option is a point. Option A is correct.

Learn more about measurements here:

https://brainly.com/question/4725561

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The product of an irrational number and an irrational number is irrational?

Always true

Sometimes true

Never true

Answers

hello!

[tex]========================================[/tex]

is the product of an irrational number and an irrational number always irrational?

We can easily check that by just multiplying some irrational numbers on our calculator.

Let's take

[tex]\pmb{\sqrt{2} }[/tex] times [tex]\pmb{\sqrt{5} }[/tex]

Multiply:-

The result is an irrational number.

Let's try to multiply π times itself.

Once again, we have an [tex]\pmb{irrational}[/tex] number.

Hence, the answer is:-

[tex]\pmb{Always~True}[/tex]

[tex]=========================================[/tex]

note:-Hope everything is clear; if you need any more explanation, kindly let me know.

When using estimates to make decisions,

A. It is important to always use a 95% confidence level
B. It is important to remember that you will never achieve certainty
C. It is important to calculate those estimates to at least six decimal places
D. It is important to use a 100% confidence level so as to achieve certainty
E. All of the above
F. None of the above

Answers

Answer:

C.

Explanation: I hope it's help you

The use of estimates to make the decisions It is important to calculate those estimates to at least six decimal places.

We have given the options that are

A. It is important to always use a 95% confidence level

B. It is important to remember that you will never achieve certainty

C. It is important to calculate those estimates to at least six decimal places.

D. It is important to use a 100% confidence level so as to achieve certainty.

E. All of the above

F. None of the above

We have to determine the correct decision.

What are the estimating values?

Any of numerous procedures used to calculate the value of some property of a population from observations of a sample drawn.

That is we are estimating the value up to 6 decimal places

Therefore option C is correct.

It is important to calculate those estimates to at least six decimal places.

To learn more about the estimated value visit:

https://brainly.com/question/107747

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the original price: $75 and percent of discount :30% what’s the

Answers

Answer:

The discount is 22.50 and the final price $52.50

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 75 × 30/100

Discount = 75 x 0.3

You save = $22.50

Final Price = Original Price - Discount

Final Price = 75 - 22.5

Final Price = $52.50

What is the first term of the arithmetic series?
a1 =
143
⇒ 8
What is the 20th term of the arithmetic series?
a20 =
⇒ 46
How many stitches are in the first 20 rows of the shawl?
⇒ 540 stitches

Answers

I don't think this is wrong

The nisure below is made of 2 rectangular prisms. What is the volume of this figure? 5 m 4 m 2 m 9 m 5 m​

Answers

Answer: Find the volume of a rectangular prism whose length, width, and height are 8cm, 6cm, and 4cm, respectively. Therefore, the volume of a rectangular prism is 192 cm 3.

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