tan^2A -sin^2A=sin^2a Tan^2A​

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

Using the identity

sin²A = 1 - cos²A , tanA = [tex]\frac{sinA}{cosA}[/tex]

Consider the left side

tan²A - sin²A

= [tex]\frac{sin^2A}{cos^2A}[/tex] - sin²A

[tex]\frac{sin^2A-sin^2Acos^2A}{cos^2A}[/tex]

= [tex]\frac{sin^2A(1-cos^2A)}{cos^2A}[/tex]

= [tex]\frac{sin^2A.sin^2A}{cos^2A}[/tex]

= sin²A × [tex]\frac{sin^2A}{cos^2A}[/tex]

= sin²A . tan²A

= right side , thus verified


Related Questions

complete the square for the equation 3x2 - 5x = 2

Answers

3

2

5

=

2

3x^{2}-5x=2

3x2−5x=2

Factor

1

Move terms to the left side

3

2

5

=

2

3x^{2}-5x=2

3x2−5x=2

3

2

5

2

=

0

3x^{2}-5x-2=0

3x2−5x−2=0

2

Use the sum-product pattern

3

2

5

2

=

0

3x^{2}{\color{#c92786}{-5x}}-2=0

3x2−5x−2=0

3

2

+

6

2

=

0

3x^{2}+{\color{#c92786}{x}}{\color{#c92786}{-6x}}-2=0

3x2+x−6x−2=0

3

Common factor from the two pairs

(

3

2

+

)

+

(

6

2

)

=

0

(3x^{2}+x)+(-6x-2)=0

(3x2+x)+(−6x−2)=0

(

3

+

1

)

2

(

3

+

1

)

=

0

Answer:

4/5

Step-by-step explanation:

See image below:)

An entire commercial break is 3.6 minutes, if each commercial break takes half of 0.6 minutes, how many commercials will play during this break?

Answers

12 I’m pretty sure ....

A trapezoid is shown. 15 units 12 units 20 units What is the area, in square units, of the trapezoid?

A 180

B. 210

C. 240

D. 420​

Answers

The answer to this is D

What is the area, in square feet, of the shape below?

Answers

Answer: 50.4

Step-by-step explanation:

The area of a triangle is base multiplied by height, then divided by two.

8* 6.3= 50.4

since theres two triangles you don't divide it

HELP ME WITH THIS PLEASE

Answers

Answer:

B. 63

Step-by-step explanation:

line M is 180 degrees just subtract 180 by 117 to find the angle

What is the volume of the cone below

Answers

Answer:

12.57

Step-by-step explanation:

V=πr^2 h/3

=π×2^2×3/3

Answer:

[tex]12.57\ ft^3[/tex]

Step-by-step explanation:

[tex]We\ are\ given,\\Radius\ of\ the\ base\ of\ the\ cone(r)=2\ feet\\Perpendicular\ height\ of\ the\ cone(h)=3\ feet\\Hence,\\We\ know\ that,\\Volume\ of\ a\ cone\ of\ perpendicular\ height\ h,\ and\ a\ base\ radius\ of\ r\ is:\\V=\frac{1}{3} \pi r^2h\\Here,\\Substituting\ r=2\ and\ h=3,\ we\ get:\\Volume\ of\ the\ given\ cone=\frac{1}{3}*\pi*(2)^2*3=\frac{\pi*4*3}{3}=\pi*4 \approx 12.57\ ft^3[/tex]

Help me please asap (not bots)

Answers

The answer is either 15 or 16
Hope it helps

Answer:

The answer is 13.6

a^2+b^2=c^2

so 13^2+4^=c^2

169+16=c^2

square root of 185 is 13.6

so the answer is 13.6 or 14 if you round

please please help!
The Pythagorean Identity states that:
(sin x)2 + (cos x)2 = 1
Given cos 0 = 15 / 8, find sin 0
sin 0 = [ ? ]
Simplify the fraction.

Answers

Answer:

sin θ = [tex]\frac{7}{8}[/tex]

Step-by-step explanation:

Substitute cos θ = [tex]\frac{\sqrt{15} }{8}[/tex] into the Pythagorean identity

(sin θ )² + ( [tex]\frac{\sqrt{15} }{8}[/tex] )² = 1

(sin θ )² + [tex]\frac{15}{64}[/tex] = 1

(sin θ )² = 1 - [tex]\frac{15}{64}[/tex] = [tex]\frac{49}{64}[/tex] ( take the square root of both sides )

sin θ = [tex]\sqrt{\frac{49}{64} }[/tex] = [tex]\frac{7}{8}[/tex]

Please help!! >w< It will be really appreciated :D

Peter makes $4500 a month plus some money by commission rates. He gets 6% of everything he sells. If Peter sold $55000 worth of items this month, what did he make TOTAL for the month?

Answers

Answer:

13,666.7

Step-by-step explanation:

you have to divide 6 into 55,000 and get 9,166.7, so then you add 4,500 with 9,166.7 to get 13,666.7.

PLS HELP! WILL GIVE BRAINLIST!

Which of the following is a monomial

A. 3x + 4y
B. 25x^2y^3
C. 6x^2 + 5x + 6
D. 9x + 7

Answers

Answer: B

A monomial is when numbers, variables are multiplied together. The other choices are added to others one. B is the only logical answer
Monomial B: 25x^2y^3

IN SPANISH
How do you find the area with 3.14 I’m so confused
PLEASE HELP!!!

Answers

Answer:

lets use what we know.

given lengths are: 6, 3, 6, and 15.

We need to split the right triangle from the small little rectangle.

Now we add the lengths of the triangle to get the full length:

6 + 6 = 12

now we need to find the base:

15 - 3 = 12

Now we get our area of the triangle:

12 x 12 = 144

144 divided by 2 = 72

Now the small rectangle's area:

6 x 3 = 18

Add both of their areas to get:

72 + 18 = 90 ft2

Answer: Tu respuesta es 90² o la parte inferior.

Step-by-step explanation: Divida la forma en un rectángulo y tringle, luego recomiendo https://www.omnicalculator.com/math/area para los cálculos

Mia has
7/8 pound of bird food. She puts an equal portion into 4 bird feeders. How much bird food, in pounds, does she put into each bird feeder?

Answers

Answer:

7/32 pounds  each  = 0.21875

Step-by-step explanation:

7/8 divided into 4 is the same as

7/8 multiplied by 1/4  = 7/32

Can someone help Asap

Answers

Answer:

2/3 cups are in 1 batch

Step-by-step explanation:

A factory has a machine that packs product into boxes. The number of boxes it can pack in a
certain amount of time is shown on this table.
Based on the table,which statement is true?
A.the machine can pack 50 boxes in 99 minutes
B.the machine can pack 45 boxes in 88 minutes
C.the machine can pack 40 boxes in 66 minutes
D. The machine can pack 35 boxes In 77 minutes

Answers

Answer:

99

Step-by-step explanation:

let me know if im wrong

Janet makes $4.50 an hour for her first hour of work, $7.00 for her second hour, $9.50 for her
third hour and so on. How much money will she earn on her 15h hour of work?

Answers

Answer:

It is either 39.5 or 42.

Step-by-step explanation:

What is the value of x in the figure?
NEED HELP ASAP

Answers

Answer:

150 degrees

Step-by-step explanation:

Answer:

E.150°

hope it helps.....

Martin drew a triangle. Its sides were 3\text{ cm}3 cm3, start text, space, c, m, end text, 4\text{ cm}4 cm4, start text, space, c, m, end text, and 5\text{ cm}5 cm5, start text, space, c, m, end text.

Answers

The question is incomplete. The complete question is :

Martin drew a triangle. Its sides were 3\text{ cm}3 cm3, start text, space, c, m, end text, 4\text{ cm}4 cm4, start text, space, c, m, end text, and 5\text{ cm}5 cm5, start text, space, c, m, end text. It has one right angle and two acute angles. Complete the sentence to describe the triangle Martin drew. Martin's triangle ......

Solution :

A triangle is defined as a close figure with three sides. It is polygon having three angles. If one of the angle is a right angle, then that triangle is known as a right angled triangle.

By Pythagoras theorem, the line opposite to the right angle is called as hypotenuse and it is the longest side in a right angled triangle.

Let a and b be the other sides and let c be the hypotenuse.

So by Pythagoras theorem, we get that [tex]$c^2=a^2+b^2 $[/tex]

From the question, a = 3 cm

                               b = 4 cm

                                c = 5 cm

Therefore,

[tex]$5^2=3^2+4^2$[/tex]

25 = 9 + 16

25 = 25

Thus the triangle is a right angled triangle.

Find the common difference of the arithmetic sequence -17, -15, -13, ..

Answers

Answer: 2

Hope this Helps!

The common difference of the given arithmetic sequence is 2.

The given arithmetic sequence is -17, -15, -13, .....

We need to find the common difference in the given arithmetic sequence.

What is the common difference in the arithmetic sequence?

A common difference is a difference between consecutive numbers in an arithmetic sequence. To find it, simply subtract the first term from the second term, or the second from the third, or so on...

Now, common difference=-15-(-17)=-15+17=2

-13-(-15)=-13+15=2

Therefore, the common difference of the given arithmetic sequence is 2.

To learn more about an arithmetic sequence visit:

https://brainly.com/question/12952623.

#SPJ2

In one weekend, 1,200 people attend a play at the theater downtown. A survey of 100 people who attended found that 45 gave the play at least 4 stars out of 5. Use the indicated method to estimate how many people in all would give the play at least 4 stars.

Answers

Answer:

540

Step-by-step explanation:

fraction of those surveyed that gave the play at least four stars = 45 / 100 = 0.45

Estimate of people who would rate the play at least four stars = 0.45 x 1200 = 540

Please help me with this, will give out brainlist

Answers

Answer:

tara and range

Step-by-step explanation:

PLEASE PLEASE PLEASE HELP
Find the area of the following figures:

Answers

Answer:

The area of the following figure is 400 [tex]m^2[/tex].

Step-by-step explanation:

On the left side of the figure, you'll see that there is a half-circle with a  diameter of 20 meters. On the right side of the figure, there is a gap for a half-circle with a diameter of 20 meters. To make the calculation process easier, you can imagine that you take the half-circle from the left side and fit it onto the gap on the right in order to form a 20 meters by 20 meters square. Now you can just multiply the side lengths together to find the area, which will be 20 * 20 = 400 [tex]m^2[/tex].

brainlyess

What is the area of the square?

Answer options with 4 options

A.8 square meters
B.16 square
C.32 square meters
D.64 square meters

Answers

Answer:

[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]

Area of the square = side²

Area

[tex] = {8}^{2} \\ = 64 \: m {}^{2} [/tex]

✏ The area of the square is D. 64 square metres.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]

Solve the following quadratic function
by utilizing the square root method.
y = 25x2 - 100
X = +[?]

Answers

Answer

25(x2−4)

Rewrite 4

as 22.25(x2−22)

What was his
percentage profit​

Answers

you need to include more information or a picture

Someone help with this please!

Answers

Answer:

Two Real Solutions

Step-by-step explanation:

Use quadratic equation discriminant5t^2+3t-7=0

[tex]\sqrt{b^2-4ac} \\\sqrt{9-4*5*-7}\\\sqrt{149}\\discriminant>0 two real solutons[/tex]:

Since the discriminant is greater then 0, it two real solutions.

Points S, U, and T are the midpoints of the sides of TrianglePQR. Triangle S U T is inside of triangle P Q R. Points S, U, and T are the midpoints of triangle P Q R. Which statements are correct? Check all that apply.

Answers

Answer:

1/2 QP = UT

SU ║ RP

Step-by-step explanation:

If UT is parallel to QP, then it is half the length of QP. ΔTUR ~ ΔPQR with a scale factor of 1/2.

It T is the midpoint of PR, then SU is parallel to RP and half its length. Again, ΔQSU ~ ΔQPR with a scale factor of 1/2.

_____

There is no diagram accompanying this problem statement. If the above assumptions are incorrect, then the conclusions are incorrect.

Answer:

A and D

Step-by-step explanation:

it just is

38. Evaluate the expression below for
x = 4
6(x + 7)
A 24 B 31 C 42 D 66

Answers

Answer:

D. 66

Hope this helps!!

A trapezoid has a base of 12 inches and 50
inches. The height of the trapezoid is 21
inches. What is the area of the trapezoid?

Answers

Answer:

Step-by-step explanation:

Givens

b1 = 12

b2 = 50

h = 21

Area = ?

Equation

Area = (b1 + b2) * h / 2

Solution

Area = (12 + 50) * 21 / 2

Area = 62 * 21 / 2

Area = 31 * 21

Area = 651

what is the fraction of 52 out of 208.

HURRY

Answers

Answer:

uhm 1/4???

Step-by-step explanation:

math help quickly and pls no links lol

Answers

i think the anwser is c
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