PLEASE HELP!!

Prove the trigonometric identity.


tanx+cotxcscxcosx=sec2x


Drag an expression to each box to correctly complete the proof.

PLEASE HELP!!Prove The Trigonometric Identity.tanx+cotxcscxcosx=sec2xDrag An Expression To Each Box To

Answers

Answer 1

You're going to have to break all of these identities into sin and cos, and then just resolve them like normal.

PLEASE HELP!!Prove The Trigonometric Identity.tanx+cotxcscxcosx=sec2xDrag An Expression To Each Box To
Answer 2

The expression [tex]\frac{tan x + cot x}{cosec x* cos x} = sec ^{2} x[/tex] is proved .

What is trigonometric ratio?

Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle.

formulas for trigonometric ratios is:

sin θ = 1/cosec θ

cos θ = 1/sec θ

tan θ = 1/cot θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

According to the question

[tex]\frac{tan x + cot x}{cosec x* cos x} = sec ^{2} x[/tex]

[tex]\frac{\frac{sin x}{cos x} + \frac{cos x}{sin x}}{\frac{1}{sin x}*cosx } = sec^{2} x[/tex]

[tex]\frac{\frac{sin^{2}x + cos^{2}x }{sinx cosx} }{\frac{cosx}{sinx} } = sec^{2} x[/tex]

[tex]\frac{\frac{1}{sinx cosx} }{\frac{cosx}{sinx} } = sec^{2} x[/tex]

[tex]\frac{\frac{1}{cosx} }{\frac{cosx}{1} } = sec^{2} x[/tex]

[tex]\frac{1}{cos^{2} x} =sec^{2} x[/tex]

[tex]sec^{2} x =sec^{2} x[/tex]

L.H.S = R.H.S

Hence, The expression [tex]\frac{tan x + cot x}{cosec x* cos x} = sec ^{2} x[/tex] is proved  .

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Related Questions

A line passes through the point (8,-9) and has a slope of -5/2. Write an equation in slope intercept form for this line.

Answers

Answer:

y = - [tex]\frac{5}{2}[/tex] x + 11

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 )

Here m = - [tex]\frac{5}{2}[/tex] , then

y = - [tex]\frac{5}{2}[/tex] x + c ← is the partial equation

To find c substitute (8, - 9) into the partial equation

- 9 = - 20 + c ⇒ c = - 9 + 20 = 11

y = - [tex]\frac{5}{2}[/tex] x + 11 ← equation of line

kindly would like help please :,)

Answers

Answer:

B.  57

Step-by-step explanation:

Theorem:

In a triangle, the measure of an exterior angle is equal to the sum of the measures of its remote interior angles.

y + y = 114

2y = 114

y = 57

SOMONE PLEASEE HELPPP MEEEEEEEE!!!

Answers

Answer:

? = 36 degrees

Step-by-step explanation:

To find this measure, we use the appropriate trigonometric ratio

from the question, the angle faces the length 26 which represents the opposite

the length 44 faces the angle 90, which is the hypotenuse

The trigonometric ratio that connects both is the sine

The sine of an angle is the ratio of the opposite to the hypotenuse

Thus;

sine ? = 26/44

? = arc sine (26/44)

? = 36

You just decided to open a savings account and went to the bank and made an initial deposit. You decide to save another set amount each month. Without any interest being paid, the equation =20+50





represents the amount of money,
y
, in your savings account after
m
months. Select what the slope and y-intercept represent in this problem.

(Choose 2)

Answers

Answer:

Options (1) and (4)

Step-by-step explanation:

Given equation for the deposit in the saving account is,

y = 20x + 50

Here, y = Amount of money in the account

20 = money added in the account every month

50 = Initial deposit

By comparing this equation with the slope-intercept form of the equation of a line,

y = mx + b

Here, slope m = money added in the account every month

And b = y-intercept

Therefore, Options (1) and (4) will be the answer.

Use the drawing tool(s) to form the correct answers on the provided number line. Plot the value(s) on the number line where this function is equal to zero: f(x) = (x + 5)(x − 1).

Its on a number line :)

Answers

-5 and 1 because (x+5)=0 so x is -5 and (x-1)=0 so x is 1

Answer:

Step-by-step explanation:

Hope this Helps ;)

Evaluate the expression x=-7. x2+4x-5

Answers

[tex]\sf \: Given \: x = - 7[/tex]

[tex]\sf \: Substitute \: the \: value \: of \: x \: as \: - 7 \: in \: the \: eq.\: \: {x}^{2} + 4x - 5[/tex]

[tex]\sf \: {x}^{2} + 4x - 5 \\ \sf = ( - 7) ^{2} + 4( - 7) - 5 \\\sf = 49 - 28 - 5 \\ \sf =\underline 1\underline6[/tex]

Answer ⟶ [tex]\boxed{\bf{16}}[/tex]

Help ASAP please and thank you

Answers

it x the first one that the cause it going the other way

please help! see question below :)

Answers

Answer:

I have no clue sorry bro.

what inequalities are shown by this graph?​

Answers

Answer:

the answer is going to be

x>27

Answer:

[tex]\sf{[27,\infty) }[/tex] is the inequality

Which system of linear inequalities is graphed?

Answers

Answer:

It is the first set of linear inequalities that is correct.

Step-by-step explanation:

plzzz donttttt ignoreeeee

Answers

Step 1: Find the area of the whole circle

A = pi x r^2

A = pi x 12^2

A = 144pi units^2

Step 2: Use the given angle to find only a part of the area

---The whole circle is 360 degrees, we only want 45 degrees.

45/360 x 144pi

1.5pi

4.71 units^2

Hope this helps!

Answer:

E. None of these

Step-by-step explanation:

Sector Area = r²  (α / 2)

R = 12

a (angle) = 45

12^2 = 144

45/2 = 22.5

144 x 22.5 = 3240

This is not one of the options therefore it is E. None of these

Pls let me know if incorrect

A right triangle is shown below.
B
c
A
b
Which of the following equals sin A?

Answers

Answer:

B

Step-by-step explanation:

sinA = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{a}{c}[/tex] → B

the area of right angled triangle with its legs are 6cm and 8cm is equal to​

Answers

Answer:

A = 24 cm^2

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh

A = 1/2 (6)*8

A = 24 cm^2

Solve the following word problems:​

Answers

Answer:

His loss is 90

He sold it 1710

Step-by-step explanation:

1) 1800x5/100= 90

2) 1800-90=1710

Answer:

Step-by-step explanation:

CP = ₹1800

Loss  = 5%

[tex]SP =\frac{100-Loss}{100}*CP\\\\= \frac{100-5}{100}*1800\\\\=\frac{95}{100}*1800\\\\[/tex]

= ₹  1710

Loss = CP - SP

        = 1800 - 1710

        = ₹ 90

Point P is the incenter of DEF. Point P is the point of concurrency of the angle bisector. Find PV

Answers

Answer:

12

Step-by-step explanation:

because line FB divides triangle f v w into two equal halves therefore line WP is equal to line PV which is equal to 12

The required value of the PV is 12 in triangle DEF where p is the incenter.


Point P is the incenter of ΔDEF. Point P is the point of concurrency of the angle bisector. PV to be determined.

What is incenter?

The incenter of a triangle is the intersection point of the internal angle bisectors of the triangle. In additional expressions, it can be clarified as the point where the internal angle bisectors of the triangle and perpendicular distance from this point to any of the sides of triangle is the same.

Since in triangle FGH, P is the incenter and PW, PV,PX is perpendicular distance to the sides HF, GF and GH respectively.
From image,
PW = 12
So by the property of incenter, perpendicular distance from this point to any of the sides of triangle is the same.

PW = PV
PV = 12


Thus, the required value of the PV is 12 in triangle DEF where p is the incenter.

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I NEED HELP ASAP
Determine whether the graph shows a positive correlation, a negative correlation, or no correlation. If there is a positive or
negative correlation, describe its meaning in the situation.
Strawberries Picked
100
90
80
70
60
Quarts Picked
so
40
30
20
10
7 8 9
10
Time (hours)

Answers

Answer:

This is a negative correlation

Step-by-step explanation:

The graph tells us that as time passes on, less strawberries/Quarts are picked.

Use the number line to show and explain why 4 over 10 divided by 2 and 1 over 2 times 4 over 10 both equal 2 over 10

Answers

Answer:

Please find the graph in the attached file.

Step-by-step explanation:

[tex]\to \frac{\frac{4}{10}}{2} \ and \ \frac{1}{2} \times \frac{4}{10} =\frac{2}{10}\\\\\to \frac{0.4}{2} \ and \ 0.5 \times 0.4 =0.2\\\\\to 0.2 \ and \ 0.2 =0.2\\\\ \to \frac{2}{10} \ and \ \frac{2}{10} = \frac{2}{10}\\\\[/tex]

what is angle G and H? please

Answers

Answer:

below

Step-by-step explanation:

that is the procedure above

Juan spent $20 of his month's babysitting earnings. If he now has $140 left of his babysitting money, what percent of his original earnings did he spend?

Answers

Answer:

12.5 % was spent

Step-by-step explanation:

How much did he start with

20 + 140 = 160

He spent 20

20/160 = 1/8

.125

12.5 % was spent

Answer:

12.5%

Step-by-step explanation

ok so

20/160(the og value) is the fraction version, to find the percent divide the numerator by teh denominator which gets you 0.125 x 100%= 12.5%

There was a scale drawing of a rectangular garden you plan to build in your backyard. The drawing shows a width of 5 inches by 8 inches long. The actual length of the garden must be 24feet long. What is the width of the actual garden?

What is the area of the garden?

Answers

Answer:

15 feet width of actual garden

360 feet^2 is area

Step-by-step explanation:

Scale in drawing:

width : length

5 : 8

Actual Meausrements:

x: 24

Actual Width = 5:8

                        x : 24

                       8x = 24 x 5

                       8x = 120

                       120/8 = 15

Area of garden= lxw

15 x 24

= 360 feet^2

Answer from Gauthmath

the question is in the picture

Answers

Answer:

Hello!

2pi R

2*3,14 *1 = 6,28

6,28/4 => 1,57

Which of the following pairs of functions are inverses of each other?

Answers

OPTION C is the correct answer.

1. Which of the following intervals shows the graph
increasing? Select all that apply.

PLEASE HELP ASAP PLS

Answers

Answer:

Options (A) and (C)

Step-by-step explanation:

Parts of the function will show the increase where y-values are increasing.

From the graph attached,

We see two parts of the graph are showing the increasing trend.

Intervals where the y-values (Values of the function) are increasing,

-2 < x < -1

1 < x < ∞

Therefore, Options (A) and (C) are the correct options.

(cos2a-cos2b)² + (sin2a+sin2b)²=4sin²(a+b)​

Answers

Answer:

LHS = (cosA+cosB)²+(sinA+sinB)²

= (cos²A+2cosAcosB+cos²B)+

(sin²A+2sinAsinB+sin²B)

/* By algebraic identity:

(x+y)² = x²+2xy+y² */

Rearranging the terms, we get

= (cos²A+sin²A)+(cos²B+sin²B)+2(cosAcosB+sinAsinB)

= 1+1+2cos(A-B)

________________________

we know that,

i) cos²x + sin²x = 1

ii) cosxcosy+sinxsiny = sin(x-y)

________________________

= 2+2cos(A-B)

= 2[1+cos(A-B)]

\boxed {1+cos\theta = 2cos^{2}\frac{\theta}{2}}

1+cosθ=2cos

2

2

θ

= 2\times 2cos^{2}\frac{(A-B)}{2}2×2cos

2

2

(A−B)

=4cos^{2}\frac{(A-B)}{2}4cos

2

2

(A−B)

=RHSRHS

Therefore,

(cosA+cosB)²+(sinA+sinB)²

=4cos^{2}\frac{(A-B)}{2}4cos

2

2

(A−B)

I need help whats the answer ?

Answers

Here, we're looking for the unit rate, or how many words James can type in 1 minute.

Let's use 300 words in 10 minutes to find words per minute.

300 words / 10 minutes = 30 words per minute

Hope this helps!

Answer:

30 words per minute

Step-by-step explanation:

Take the number of words and divide by the number of minutes

150/5 = 30

300/10 =30

450/15 = 30

600/20 = 30

30 words per minute

Jin bought a pair of pants that cost $47.83. The sale tax in her state is 7.43 % what is the total cost of the pants ?

(show your work) ​

Answers

Answer:

$51.38

Step-by-step explanation:

7.43% of 47.83=(rounded to the nearest hundredth) 3.55

7.43/100*x/47.83

x=3.55

because we are solving for x

we can also cross check by taking out the percentage

x/100*3.55/47.83

47.83x=355

x=7.42212000836

which is about 7.43%

47.83+3.55= 51.38

Need help!
8 ÷ 2 (2 + 2) =

Answers

Answer:

= 16

Step-by-step explanation:

= 8 \div 2 . 4

= 16

Answer:

[tex]8\div \:2\left(2+2\right)[/tex]

[tex]=8\div \:2\cdot \:4[/tex]

[tex]=16[/tex]

OAmalOHopeO

I need help finding the equation.

Answers

Answer:

[tex]y=2^{x}\ -3[/tex]

Step-by-step explanation:

Mrs. Dominguez asked her students to plot the number of books they read over the summer

Answers

Answer: Count the dots located on the blot labeled at 2.

There are 6 dots, which mean 6 students read 2 books.

The answer is 6.

Step-by-step explanation:

ASAP please help meeeeeeeeeeee

Answers

Answer:

-17/20

Step-by-step explanation:

Answer:

-17/20

Step-by-step explanation:

-1/4 equals -1/4 and +-3/5 equals -3/5

-1/4 -3/5 equals -5/20 -12/20

-17/20 is your answer

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