Prove that
sec A cosec A - cotA= tan A.
Can someone’s please help me with this one.. I’ll give brainliest

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

secx = [tex]\frac{1}{cosx}[/tex] , cosecx = [tex]\frac{1}{sinx}[/tex]

cotx = [tex]\frac{cosx}{sinx}[/tex] , tanx = [tex]\frac{sinx}{cosx}[/tex]

Consider the left side

secA cosecA - cotA

= [tex]\frac{1}{cosA}[/tex] × [tex]\frac{1}{sinA}[/tex] - [tex]\frac{cosA}{sinA}[/tex]

= [tex]\frac{1}{cosAsinA}[/tex] - [tex]\frac{cosA}{sinA}[/tex]

= [tex]\frac{1-cos^2A}{cosAsinA}[/tex]

= [tex]\frac{sin^2A}{cosAsinA}[/tex] ( cancel sinA on numerator/ denominator )

= [tex]\frac{sinA}{cosA}[/tex]

= tanA = right side ⇒ proven


Related Questions

I need help with the range

Answers

Answer:

(-2, 10]

Step-by-step explanation:

The range is the y values that the equation/line covers.

The line's lowest point is -2 and the line's highest point is 10. The value is not defined at -2 since there is an open circle. The value is defined at 10 since there is a closed circle.

100 freaking points get it right

Answers

Answer:

1

1

    2

im sure you know what this means

Step-by-step explanation:

Answer:

cool guy dont know

Step-by-step explanation:

Are these answers right or some wrong? If some wrong plz answer them correct thanks!

Answers

You are wrong.

1, 2, 3 and 4 are correct.

5. 75%

6 is also correct

7. 100%

8. 50%

No they aren’t, you got most right:)

8
The statement “x > 4 and 2x – 4< 6" is true when x is
equal to
A1
B 10
C 5
D 4

Answers

Answer:

the new year will have the other

Step-by-step explanation:

u3ueufjfjtjfjfj was calling for an accident that killed

What does 24 square root using perfect squares look like?

Answers

Each side is 6 square roots

Answer:

4.899

Step-by-step explanation:

4.899×4.899=24

I know cause I googled :)

Math Glass Worksheet (A lot of points)
Can someone tell me what to put in the rest of these columns

Answers

Answer:

You can chose 3 in 5 :o

Step-by-step explanation:

Find the perimeter of a rectangular garden that measures 4 yards by
12 yard.

Answers

Answer:

it is 48 yards

Step-by-step explanation:

what You would do is this 12x4, which would equal 48

Answer:

32 yards

Step-by-step explanation:

First we need to know what perimeter is. It's similar but not the same as area. The perimeter is the length around the entire area, or in this case, a garden. We know 2 side lengths of the garden and because it is a rectangle we just have to add another width and length the same as these and add them all together.

4 + 4 + 12 + 12

8 + 24

32

So, the perimeter of the rectangular garden is 32 yards.

Hope this helps! If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. :) Stay safe and please mark brainliest!

Dena has 6.25 inches of blue ribbon, 0.375 foot of orange ribbon, and 0.5 yard of green ribbon. How many inches of ribbon does Dena have altogether?

Show or explain your work through either decimal or fractional calculation.

Answers

Answer:

28.75in

Step-by-step explanation:

We are expected to convert all units to inches in this problem

Step one:

given data

blue ribbon=6.25 inches

orange ribbon=0.375 foot

green ribbon=0.5 yard

Step one:

convert orange ribbon=0.375 foot to inches

1 ft = 12 in

0.375ft=xin

cross multiply

x=12*0.375

x=4.5in

orange ribbon= 4.5in

convert green ribbon yd to inches

1 yd = 36 in

0.5 yd=xin

cross multiply

x=36*0.5

x=18in

green ribbon= 36in

total lenght in inches =6.25+4.5+18

=28.75in

Pls help !!! I've already failed it twice this is my last try please help there's other questions on my account. ​

Answers

Answer:

A, C

Step-by-step explanation:

Maybe A and C because its reflecting in the opposite direction which is 180

I need help for algebra 1, solve for the variable
2x-y=y
(solving for x)

Answers

Answer:

x = y

Step-by-step explanation:

Given

2x - y = y ( add y to both sides )

2x = 2y ( divide both sides by 2 )

x = y

Answer: x=y

Explanation
add y to both sides=2x-y+y=y+y
2x=2y
Divide both sides by 2
2x/2=2y/2
Therefore x=y

Is y=2x-4 a linear equation?

Answers

Answer:

Yes

Step-by-step explanation:

When graphed, the equation will produce a straight line, making it linear.

Please help!

Show your work if you can!

Thank you!

Answers

Answer:

4

Step-by-step explanation:

your slope-intercept will be 4

Answer:

y = 4x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 4x - 3 ← is in slope- intercept form

with slope m = 4

Parallel lines have equal slopes

Thus parallel line has m = 4 and c = 5

y = 4x + 5 ← equation of parallel line

Find the product of 3 1/5 and 7 1/4. Express your answer in simplest form.

Answers

Answer:

Step-by-step explanation:

3 1/5 * 7 1/4= 23 1/5

Which of the following numbers is divisible by both 5 and 10

Answers

Answer:

5

Step-by-step explanation:

Answer:

1 or 5

Step-by-step explanation:

cuz 1 divided by 5 =5 and 10 divided by with 1 =10

but 5 divided by 1 = 5 and 10 divided by 5 = 2

There were 42 mangoes in each crate. 12 such crates of mangoes were delivere to a factory. 4 mangoes were rotten and had to be thrown away. The remaining mangoes were packed into boxes of 10 mangoes each. How many mangoes were left after the 4 rotten ones were thrown away? * Your answer​

Answers

Answer: 50

Step-by-step explanation: 42x12=504. 504-4=500. 500/10=50.

Answer:

Total Mangoes = 50

Rotten =  46

Step-by-step explanation:

50 divided by 10 = 5.

50 minus 4 is 46.

There are 2 blue, 3 green and 10 red marbles in a bag. What is the Probability of pulling a red marble, replacing it, then pulling a blue marble?

Answers

Answer:

i think its this..   ._.

Step-by-step explanation:

if red is 10, and pulling a blue is 2, there is a 10/15 chace you will get a red, but a 2 out of 15 chance you will get a blue

1
-3
р
II
03
True
O False

Answers

Answer:

i dont understand it

Step-by-step explanation:

Multiply. Answer with a mixed number in simplest form

6 x 3 3/8

Answers

Answer: my answer is 20.25

Answer:

20 1/4

Step-by-step explanation:

6/1 × 27/8 = 162/8 = 162 ÷ 8 = 20 1/4

Hey everyone I need help on the questions please!:)​

Answers

Answer:

a. 1/2

b. 1 hair cut

c. 2.5

Step-by-step explanation:

4/8 divde by 4 to simplify and that gets you 1/2

8/4 is 2 so he does one hair cut every two hours

so you know how many he can do in 2 hours so add it up. It’s going to be 2 people in four hours so it will be half a hair cut in 5 hours

What is the period of y = 4Cos(2x)?

Answers

This is your perfect answer

Y=4cos(2x)sin

) Multiply (x − 4)(x2 − 5x − 6). x3 − 9x2 + 14x + 24 x3 − x2 + 26x + 24 x3 − 5x2 + 10x + 24 x3 − 15x2 + 20x + 24 Question 10(Multiple Choice Worth 6 points) (01.03 MC) Solve for all possible values of x. square root of the quantity x minus 8 end quantity minus 3 equals 1 x = −4 x = 8 x = 12 x = 24

Answers

9514 1404 393

Answer:

  A.  x^3 − 9x^2 + 14^x + 24

Step-by-step explanation:

(x − 4)(x^2 − 5x − 6) = x(x^2 − 5x − 6) -4(x^2 − 5x − 6)

  = x^3 -5x^2 -6x -4x^2 +20x +24

  = x^3 +x^2(-5-4) +x(-6+20) +24

  = x^3 − 9x^2 + 14x + 24 . . . . matches the first choice

Answer:

The other person is right it is "x^3 − 9x^2 + 14x + 24"

Step-by-step explanation:

They showed their work so i felt like u could just look at theirs!!!

Xoxo

state the value of digit 2 in the number 1326g , in base ten​

Answers

Answer:

20

Step-by-step explanation:

2*10

= 20

PLS GIVE BRAINLIEST

i think 64 I’m not sure though

Divide $63 among three men in the ratio 1/2 : 1/4 : 1/8. How much will each get?

Answers

Answer:

1st: $36

2nd: $18

3rd:$9

Step-by-step explanation:

The first man gets 4

The second gets 2

The third gets 1

4 + 2 + 1 = 7

63/7 = 9

Each part equals $9

9*4  = 36

9 * 2 = 18

9 * 1 = 9

Check:

36 + 18 + 9 =

63

CORRECT ANSWER GETS BRAINLIEST!!!

The least-squares regression equation
y = 120 + 40x can be used to predict the cost of renting a backhoe for x hours. Suppose it costs $325 to rent a backhoe for 5 hours.
Calculate the residual for renting the backhoe for 5 hours, to the nearest hour.
The residual is _____​

Answers

Answer:

5

Step-by-step explanation:

just did on edge

The residuals is $5

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given, The least-squares regression equation

y = 120 + 40x

This equation can be used to  predict the cost of renting a backhoe for x hours

If  it costs $325 to rent a backhoe for 5 hours.

We need to Calculate the residual for renting the backhoe for 5 hours,

Plug 5 in place of x in equation

y=120+40(5)

y=120+200

y=320

Since the The observed value is $325.

To find residual for renting the backhoe for 5 hours

We have to separate 320 from 325

325-320=5

Hence the residual is 5.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

The vertices of a triangle are A(-2, 1), B(2, 2) and C(6, - 2).
Find the equation of the altitude of AD drawn from A to BC.​

Answers

Answer:

The equation of altitude AD drawn from A to BC will be:

[tex]y=x+3[/tex]

Step-by-step explanation:

Let m₁ and m₂ be the slope of line AD and BC respectively.

Now, AD⊥BC

​∴ m₁ × m₂ = -1

be the slope of line AD and BC respectively.

⇒ m₁ = -1/m₂    → (A)

Finding the slope of BC using points

B(2, 2)

C(6, - 2)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(2,\:2\right),\:\left(x_2,\:y_2\right)=\left(6,\:-2\right)[/tex]

[tex]m_{2} =\frac{-2-2}{6-2}[/tex]

[tex]m_{2} =-1[/tex]

On substituting the value of m₂ in equation (A)

m₁ = -1/m₂

    = -1/(-1)

    = 1

We know that the point-slope form of the line equation is

[tex]y-y_1=m\left(x-x_1\right)[/tex]

∴ Equation of altitude AD passing through A(-2, 1) with slope 1 will be

[tex]y-1=1\cdot \left(x-\left(-2\right)\right)[/tex]

[tex]y-1=x+2[/tex]

[tex]y=x+3[/tex]

Therefore, the equation of altitude AD drawn from A to BC will be:

[tex]y=x+3[/tex]

There are 2,560 fl oz. in a fish tank, how many gallons is the fish tank? help me !!!!!​

Answers

Answer:

Your answer would be 12

Step-by-step explanation:

Hopefully this helped, if not HMU and I will try my best to get you a better answer! :)

WILL GIVE BRAINLIEST

Answers

We Know that in geometry the Cos/Sin = Cotangent. And the abbreviation for this is cotø

What is the image of (2,3)(2,3) after a reflection over the line y=-xy=−x?

Answers

Answer:

The image of (2,3) after a reflection over the given line will be: (-3,-2)

Step-by-step explanation:

The given point is (2,3)

Let (x,y) be a point, when it will be reflected over the line y=-x the coordinates are exchanged and are negated i.e. point (x,y) becomes (-y,-x)

When a point is reflected over a line the distance between the image of point and the line remains the same as the distance between original point and line.

Given point will become: (-3,-2)

Hence,

The image of (2,3) after a reflection over the given line will be: (-3,-2)

Answer:

(−2,3)

Step-by-step explanation:

im just assuming that its was and accedent to add extra

Lin runs 5 laps around a track in 6 minutes. How many minutes per lap is that? ___minutes How many laps per minute is that? ___ laps If Lin runs 21 laps at the same rate, how long does it take her? ___minutes

Answers

Answer:

a. 1.2 minutes

b. 0.83 laps

c. 25.2 minutes

Step-by-step explanation:

Lin runs 5 laps around a track in 6 minutes.

a. How many minutes per lap is that?

5 laps = 6 minutes

1 laps = x minutes

Cross Multiply

x minute × 5 laps = 6 minutes × 1 laps

x minute = 6 minutes × 1 laps/5 laps

x laps = 1.2 minutes

Hence, it is 1.2 minutes per lap

b. How many laps per minute is that?

6 minutes = 5 laps

1 minute = x laps

Cross Multiply

6 minutes × x laps = 1 minute × 5 laps

x laps = 1 minute × 5 laps/6 minutes

x laps = 0.8333333333 laps

Hence, it is 0.83 laps per minute.

c. If Lin runs 21 laps at the same rate,

5 laps = 6 minutes

21 laps = x minutes

Cross Multiply

x minute × 5 laps = 6 minutes × 21 laps

x minute = 6 minutes × 21 laps/5 laps

x laps = 25.2 minutes

Hence, it takes her 25.2 minutes

Which model represents the product 6×34?

Answers

Answer:

204 is the answer

Step-by-step explanation:

204 is the answer

Paki heart nalang po kung nakatulong

Answer:

its the 3rd

Step-by-step explanation:

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