prove that . 1+cot2 theta = cosec2theta​

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

Using the Pythagorean identity

sin²θ + cos²θ = 1 ( divide terms by sin²θ )

[tex]\frac{sin^20}{sin^20}[/tex] + [tex]\frac{cos^20}{sin^20}[/tex] = [tex]\frac{1}{sin^20}[/tex] , that is

1 + cot²θ = cosec²θ ← as required


Related Questions


Please answer question 14 C at rhe bottom and i will mark u whatever u want

Answers

Answer:

3km/h

Step-by-step explanation:

total distance ÷ total time = average speed

6 ÷ 2 = 3

A softball pitcher throws a softball to a catcher behind home plate. The softball is 3 feet above the ground when it leaves the pitcher's hand at a velocity of 50 feet per second. If the softball's acceleration is –16 ft/s2, which quadratic equation models the situation correctly?

Answers

Answer:

The function is:

[tex]f(t) = -16t^2 + 50t + 3[/tex]

Step-by-step explanation:

Given

[tex]height = 3ft[/tex]

[tex]velocity = 50ft/s[/tex]

[tex]acceleration = -16ft/s^2[/tex]

Required

The function

Let t represents time;

So, we have:

[tex]f(t) = acceleration * t^2 + velocity * t + height[/tex]

So, we have:

[tex]f(t) = -16* t^2 + 50* t + 3[/tex]

[tex]f(t) = -16t^2 + 50t + 3[/tex]

Answer:

b on edge

Step-by-step explanation:

What is the value of tan in the unit circle below?

Answers

Question:-

What is the value of tan in the unit circle below?

Answer:-

The value of tan in the unit circle below is

[tex] \frac{ \sqrt{3} }{2} [/tex]

Note:- Please attach the full question next time.

Solve for x. Round to the nearest tenth, if necessary.

Answers

Answer:

9.4

Step-by-step explanation:

cos 32° = 8/x

x = 8/ cos 32°

= 8/ 0.8480

= 9.4

The value of the variable 'x' using the cosine formula will be 9.4 units.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

The value of 'x' is given by the cosine of the angle ∠VWU. And the cosine of an angle is the ratio of the base and hypotenuse of the right-angle triangle. Then we have

cos 32° = 8 / x

x = 9.4

The value of the variable 'x' using the cosine formula will be 9.4 units.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

#SPJ7

Solve the equation to find a positive value of c: 3^2 + 4^2 = c^2

Answers

Answer:

The answer is c=5,-5

c= -5, 5

3^2 + 4^2 = c^2
9 + 16 = c^2
25= c^2
then you square each side and you should get c= -5, 5

Which of the following correlation coefficient would represent the Strongest correlation? A) 0.12 B) -0.56 C) -0.91 D) 84.

Answers

Answer:

C) -0.91

Step-by-step explanation:

A indicates a very slight positive correlation; not a strong one. B indicates a moderate negative correlation, but again, not a strong one. D indicates a strong correlation, but it is less than C, which I will get to. The answer is C, and because it is closest to ± 1, it is the strongest correlation.

Answer:

c

Step-by-step explanation:

Evaluate the function. Please help! ASAPPP!!!!

Answers

Answer:

B

Step-by-step explanation:

p(-3)=1/4(-3)²+1=9/4+1=13/4=3.25

p(5)=1/4(5)+2.5

=5/4+2.5

=1.25+2.5

=3.75

The answe is going to be b

Pls help this set question

Answers

1: True

2: False

3: False

4: True

5: False

6: True

El solar de María tiene forma rectangular los lados miden 36 cm y 40 cm cuántos metros cuadrados tiene el terreno? cuál es el perímetro del terreno?​

Answers

Answer:

Area of rectangular land = 1,440 cm².

Perimeter of rectangular land = 152 cm

Step-by-step explanation:

Given:

Length of rectangular land = 36 cm

Width of rectangular land = 40 cm

Find:

Area of rectangular land

Perimeter of rectangular land

Computation:

Area of rectangle = length x width

Area of rectangular land = 36 x 40

Area of rectangular land = 1,440 cm²

Perimeter of rectangle = 2[l + b]

Perimeter of rectangular land = 2[36 + 40]

Perimeter of rectangular land = 2[76]

Perimeter of rectangular land = 152 cm

Kristy bought a new tv the total cost of the tv was £360 including vat at 20% work out the cost of the tv before the vat was added

Answers

Answer:

£288

Step-by-step explanation:

Kathy bought a TV for the cost of 360 pounds, including VAT (taxes).

Since the taxes are 20% of the TV's value, we can calculate 20% of 360.

20% of 360 = 72

360 - 72 = 288

Therefore, the cost of the TV before taxes was £288.

find the slope between the points (-5,1) and (-1,-6)

Answers

Answer:

- 7 / 4

Step-by-step explanation:

Slope = (y2 - y1) / (x2 - x1)

Slope = (1 - -6) / (-5 - -1)

Slope = - 7 / 4

Answer:

Slope: -7/4

Step-by-step explanation:

If you're given two points:

(x_1, y_1) & (x_2, y_2)

The formula for slope is:

(y_2 - y_1)/(x_2 - x_1)

x_1 = -5

x_2 = -1

y_1 = 1

y_2 = -6

Plug them into the slope formula and solve:

(-6 - 1)/(-1 - (-5))

(-7)/(-1 + 5)

-7/4

Hope it helps (●'◡'●)

A rectangle has an area of 18 cm2
The lengths of the sides are whole numbers.
How long could the sides of the rectangle be?
Give all the examples you can think of

Answers

Answer:

9 possible values of length and breadth.

Step-by-step explanation:

Given that the area of the rectangle is 18cm² . And the lengths of the sides are whole numbers. We need to tell the possible dimensions of the rectangle .

Let :-

[tex]\rm\implies Length = x [/tex]

[tex]\rm\implies Breadth = y [/tex]

We know that :-

[tex]\rm\implies Area = length \times breadth [/tex]

Put in the assumed variables

[tex]\rm\implies Area = x y \\\\\rm\implies xy = 18cm^2 [/tex]

Now look out for the possible factors of 18 . That is , ( 1 × 18 ) , ( 2 × 9) , ( 3 × 6 ) , ( 6 × 3 ) , ( 9 × 2 ) , (18 × 1 ) . That is total 9 possible values .

if the diagonal of a square is √48 what is the area of a square​

Answers

Answer:

using Pythagoras' theorem c²=a²+b²

the diagonal is the hypotenuse of one of the triangles formed

let x represent one side of the square

√48²=x²+x²

√48²=2x²

48=2x²

48/2=2x²/2

24=x²

√24=√x²

4.8989794855663561=x

~4.90

Area of the square=side x side

4.90x4.90

24.01units²

Five number have amean of 12,when one number is removed, the mean becomes 11,what is the removed number

Answers

Answer:

The removed number is 16

Step-by-step explanation:

Five numbers have a mean of 12.

Now;

Mean = Σx/x

Thus; Σx = 12 × 5 = 60

Now,we are told that if one number is removed, the mean is 11.

Thus;

(60 - x)/4 = 11

60 - x = (11 × 4)

60 - x = 44

x = 60 - 44

x = 16

Thus,the removed number is 16

AYUDAAAA, LES DOY CINCO ESTRELLAS SI LO RESUELVEN BIEN

Answers

dividido por la epotenusa es 7 :v

A store purchased a plasma screen TV and marked it up 95% from the original cost of $876.08. A week later, the
store placed the TV on sale for 70% off. What was the discount price?

Answers

Answer:

95%-70%=15%

$876.08×15% =$131.412

Answer:

512.51

Step-by-step explanation:

Hope this helps! :)

What is the 7th term in the sequence below?
5, 25, 125, 625, …
A. 78,125
B. 15,625
C. 3,125
D. 825

Answers

Answer:

its 3125

Step-by-step explanation:

you multiply it by 5 every time

Answer:

C

Step-by-step explanation:

At the gym Merl swims every 6 days, runs every 4 days and cycles every 16 days. If she did all 3 activities today in how many days will she do all 3 activities again on the same day

Answers

Answer:

48 days

Step-by-step explanation:

Swim = every 6 days

Run = every 4 days

Cycles = every 16 days

Find the lowest common multiple of 6, 4 and 16

6 = 6, 12, 18, 24, 30, 36, 42, and 48

4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48

16 = 16, 16, 32, 48, 64, 80, 96, 112, 128, 144, 160

The LCM of 6, 4 and 16 is 48

Therefore,

If she did all 3 activities today, she will do all 3 activities again in the next 48 days

complete the table of values for y=x^2-x

Answers

Answer:

y = 6,2,0,0,2,6

hope this helps

Step-by-step explanation:

PLEASE HELP! Which of the following ordered pairs is a solution to the given system of equations?

A. (12, 8)

B. (3, 5)

C. (-3, 3)

D. (0, 4)

Answers

Answer:

A number has to be the answer

Find the length of the line AB if A is (-2,3) and B is (5,7)

Answers

Answer:

[tex]{ \tt{length = \sqrt{ {( - 2 - 5)}^{2} + {(3 - 7)}^{2} } }} \\ = \sqrt{65} \\ = 8.06 \: units[/tex]

How many solutions are there to the system of equations graphed below if the lines are parallel? A. Zero B. One C. Two D. Infinitely many ​

Answers

Answer:

A) 0

Step-by-step explanation:

The solution is a couple (x, y) that are the coordinates of the intersection point of the lines.

If the lines are parallel there is no intersection and no solution to the system of equations

The required, system of the equation of the line shown in the graph has no solution. Hence option A. Zero is correct.

What are simultaneous linear equations?

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,
Two parallel lines with some space between them are shown on the given graph. The system of equations indicated by the lines cannot be solved since there is no intersection point between them. This indicates that there isn't an x or y value that simultaneously solves both equations.

Thus, option A. zero is correct.

Learn more about simultaneous equations here:

https://brainly.com/question/16763389

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What is the volume of the cylinder to the nearest whole number?

Answers

Answer:

[tex]{ \bf{volume = \pi {r}^{2}h }} \\ = 3.14 \times {7.5}^{2} \times 20 \\ { \tt{volume = 3534.3 \: {cm}^{2} }}[/tex]

A wooden board 27 ft long is cut into two pieces so that the longer piece is 8
times as long as the shorter piece. Find the lengths of the two pieces.

Answers

Answer:

3ft and 24 ft.

Step-by-step explanation:

Let the length of the shorter piece be x

The longer piece is 8 times as long as shorter piece

therefore,

Length of longer piece = 8x

Total length of the wooden board = 27 ft.

27 = longer length + shorter length

27 = x + 8x

27 = 9x

dividing both sided by 9

3 = x

since x was the length of the shorter piece

shorter piece is 3 ft. long

and the longer piece was equal to 8x

longer piece is 24 ft. long

0.54,0.45,0.405,0.054 in order smallest first

Answers

Answer:

0.054, 0.405, 0.45, 0.54

Answer:

0.054, 0.405, 0.45, 0.54

Step-by-step explanation:

1. The 0 after the decimal point makes it the smallest

2. 405/1000 < 45/100

3. 45/100 < 54/100

Find the greatest number such that; x360y is divisible by 24
WILL GIVE BRAINIEST, NEED ANSWER ASAP

Answers

Answer:

93600

Step-by-step explanation:

24=3*2*2*2

y=0,8

1) x3600, then x=9,6,3

2)x3608, then x=1,4,7

9 is the largest so the final answer is 93600

What is the bohr diagram for Titanium +4charge ions.

Answers

Answer:

Step-by-step explanation:

thats the link for the diagram

Answer:

The nucleus of a titanium atom has 22 protons and 26 neutrons

If you search online for 'Bohr's diagram for titanium' it might help.

__

It will become Ti ^4+

Bohr diagrams indicate how many electrons fill each principal shell. This means that they can achieve a stable configuration and a filled outer shell by donating or losing an electron. As a result of losing a negatively-charged electron, they become positively-charged ions.

Which represents an exterior angle of triangle ABF?

∠BAD
∠AFE
∠CAD
∠CAB

Answers

Answer:

∠CAB

Step-by-step explanation:

Exterior angles include two corner points and one point not on the triangle. Thus, ∠CAD would be an exterior angle.

Answer:

Step-by-step explanation:

A triangle has 3 interior angles. In this case, they are

<ABF

<BFA

<FAB

An exterior angle is the supplement of one of the angles. In this case, there is only 1 angle that qualifies -- <CAB which is the supplement of BAF.

All the other choices are not supplements to any of the interior angles such as

<BAD

<AFE

<CAD

Please help me with this one I seriously suck at math

Answers

Answer:

6×5+8×6+6×7+2×1/2×4×8

= 152 in^2

○●○●○●○●○●○

☆Hope it helps...

Check the box labeled Show Altitude of Triangle ABC. The altitude divides into and through the point you determined in question 2. Measure and record the side lengths of and . Then measure and record the side lengths of and .

Answers

Answer:

Step-by-step explanation:

Step-by-step explanation:

.hhx cvs Gunther b but kcm

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