Can someone prove 1+cosx/1+secx=cosx
with all the steps included?
Please and thank you.

Answers

Answer 1

Answer:

Proved , since LHS= RHS

Step-by-step explanation:

We need to prove the given expression ,

=> 1 + cos x / 1 + sec x = cos x

Simplifying LHS.

=> 1 + cos (x) / 1 + sec (x)

=> 1 + cos (x) / 1 + 1/cos (x)

=> 1 + cos (x) ÷ 1 + cos(x) / cos (x)

=> 1 + cos (x) × cos(x) / { 1 + cos (x) }

1 + cos (x) gets cancelled . So we are finally left out with ,

=> cos (x)

= RHS

Hence proved !

Related Questions

A warehouse has a height of 8 2/10 ​ meters, length of 120 meters, and width of 20 3/10 ​ meters. What is the volume of the warehouse?

Answers

Volume = 119975.2 meters3

what is 4(2/3x +2) = 3x

Answers

Answer:

X=24 is the answer!

Explanation:

Answer:

x = 8

Simplified

3x = 8 + 8/3x

Step-by-step explanation:

4(2/3x + 2) = 3x

8/3x + 8 = 3x

8/3x - 8/3x + 8 = 3x - 8/3x

8 = x

Please help! I will give Brainliest!
Who is correct?

Answers

Answer:

Eric is correct

Step-by-step explanation:

Find you equation of the line shown

Answers

Answer:

y=x+6

Step-by-step explanation:

(0,6). y=mx+b or 6=1 × 0+b, or solving for b: b=6-(1)(0). b=6.

(1,7). y=mx+b or 7=1 × 1+b, or solving for b: b=7-(1)(1). b=6.

I inputted two points from the graph and solved them.

Hence the equation would be y=x+6

Answer:

y= x + 6

Step-by-step explanation:

For here we are looking for y= mx +b.

For the slope, It is y= 4/4.

That can be simplified into 1x or x.

Then look at where it contacts the y axis. It is at six. Plug all that in to get

y= x + 6

hope this helps!!

TEXAS Test Prep
Which equation represents the fraction of beads that are green or yellow?

⚫⚪⚫⚫⚫⚫⚫⚫

A. 1/2 + 1/4 = 3/4
B. 1/4 + 1/8 = 3/8
C. 1/2 + 1/8 = 5/8
D. 3/4 + 2/8 = 1​

Answers

Answer:

1/8 + 1/2 = 5/8

Step-by-step explanation:

Total number of beads = 8

Number of green beads = 4

Number of yellow beads = 1

Fraction of green beads :

Number of green / total number of bead = 4 / 8 = 1/2

Fraction of yellow beads :

Number of yellow / total number of bead = 1 / 8

Number of green or yellow bead :

1/8 + 1/2 = (1 + 4) / 8 = 5/8

A truck rental company a basic fee of $70 and an additional $4 per mile for the rental of its trucks. Michelle paid a total of $210 when she rented a truck. How many miles did she drive the truck?

A 17.5 miles
B 35miles
C 70 miles
D 122.5 miles

Answers

Answer:

35 Miles

Step-by-step explanation:

Mark me brainliest.

210 minus 70 = 140

140 divided by 4 = 35

35 is your answer.

Morgan correctly answered 90% of the questions on her history test. She answered 36 questions correctly How many questions were on the test?

(A)33
(B)40
(C)48
(D) 126​

Answers

Answer:

(B)40

Step-by-step explanation:

use the mark given and divide it by 90 percent take the answer given and multiply it by one hundred

Answer:

B) 40

Step-by-step explanation:

If 90% = 36

100% = ?

Cross Multiplying

100 x 36/ 90 = 40

which means there were 40 Questions on the test.

Find the inverse: y = - 1/2 x + 4.

Answers

y=-2 lol sorry if I’m late

NEED THE ANSWER PLEASE

Answers

Answer:

d. 89°

Step-by-step explanation:

The given measure of the angles formed are;

m∠AED = 48°, m[tex]\widehat{AG}[/tex] = 175°

According to circle theorem, the angle formed by a chord and a tangent of a circle is given by half of the measure of the arc intercepted by the chord in the direction of the angle;

Therefore;

m∠AED = (1/2) × m[tex]\widehat{ABE}[/tex]  = 48°

∴ m[tex]\widehat{ABE}[/tex] = 2 × 48° = 96°

m∠AEF = (1/2) × m[tex]\widehat{AGE}[/tex]

m[tex]\widehat{ABE}[/tex] + m[tex]\widehat{AGE}[/tex] = 360° (angle round a circle)

∴ m[tex]\widehat{AGE}[/tex] = 360° - m[tex]\widehat{ABE}[/tex] = 360° - 96° = 264°

m[tex]\widehat{AGE}[/tex] = m[tex]\widehat{AG}[/tex] + m[tex]\widehat{EG}[/tex]

∴ m[tex]\widehat{EG}[/tex] = m[tex]\widehat{AGE}[/tex] - m[tex]\widehat{AG}[/tex] = 264° - 175° = 89°

m[tex]\widehat{EG}[/tex] = 89°.

Find the surface area of the above solid

Answers

Answer:did u ever find the answer i need it

Step-by-step explanation:

Find the volume of the pyramid. Someone help plz

Answers

Answer:

2880

Step-by-step explanation:

10 x 8 x 6 x 12 = 5760/2 = 2880

En una progresion geometrica el primer termino es 4 ¿ cual debe de ser la razon para que la suma de sus infinitos sea 5?

Answers

Respuesta:

La proporción común del término puede ser 1/5

Explicación paso a paso:

La fórmula para calcular la suma al infinito de una secuencia geométrica se expresa como:

Sinfty = a / 1-r

Dado

Sinfty = 5

Primer término a = 4

Requerido

Razón común r

Sustituir

5 = 4/1-r

5 (1-r) = 4

5-5r = 4

-5r = 4-5

-5r = -1

r = 1/5

Esto significa que la razón común debe ser 1/5 para que la suma hasta el infinito sea 5

Work out the area of triangle ABC
2 root 5 cm
3 root 2 cm

Answers

shouldn’t there be a picture?

Determine the volume of the shape below

Answers

Answer:

V = 24513.85 m³

Explanation:

Volume of a right cylinder = area of the base × height

V = πr² × h

r = d/2

r = 34/2 = 17 m

V = π × 17² × 27

V = 24513.85 m³

|2x-5|<1

i need help pleaseeeeee

Answers

Answer:

x < 3 or x < 2

Step-by-step explanation:

|2x-5|<1

Using compound Inequality

(2x - 5) <± 1

Hence,

a) 2x - 5 < -1

2x < -1 + 5

2x < 4

x < 4/2

x < 2

b) 2x - 5 < +1

2x < 1 + 5

2x < 6

x < 6/2

x < 3

Therefore, x < 3 or x < 2


What is the appropriate equation used that would solve for x

Answers

Answer:

E) 6x - 10 = 4x + 20

Step-by-step explanation:

In this type of picture, the opposite angles are congruent (they equal the same)

So the right equation would be 6x - 10 = 4x + 20, or E

6. Find both solutions by factoring
): 3x^2 + 10x + 7 = 0

Answers

both solutions:
x = -1, -7/3

Find the circumference of the given circle. Round your answer to the nearest whole number.

Answers

Answer:

circumference = 31 inches

Step-by-step explanation:

using the Pythagorean theorem:

diameter² = 8² + 6² = 100

diameter = √100 = 10

circumference = 10 x 3.14 = 31.4 inches

A class has 25 students. In how many seats can four students be chosen as class leaders?

Answers

is there any context , i think 4 is the answer?

Answer:

3 groups will have 5 members with a class leader, but only one will have 6 members and a class leader

Step-by-step explanation:

A school has 764 students. Of the students, 118 are in third grade. Which
equation can be used to find s, the total number of students in all of the other
grades?
764 + 118 = s
s
764 = 118
118 = 764
118 + s = 764

Answers

I think it’s the first one because it says S represents the total so I’m guessing to add 764 and 118 and it will get you the total.

Answer:

D. 118 + s = 764

Step-by-step explanation:

To find the total number of students in all the other grades, if we only know the total number of students in the school and the number of kids in 3rd grade, we need to subtract the kids in 3rd grade from the entire school. This leaves us with 646.

s = 646

Hope it helped!

Which is true about the angle relationships in the


rectangle? Check all that apply.


BEA and Z CED are vertical angles and equal


76º.


ZABE and Z CBE are complementary angles.


BEC and Z CED are vertical angles.


BEA and AED are supplementary angles


whose sum is 180°


BEC and AED are adjacent angles.

Answers

Answer:

∠BEA = ∠CED = 104° (vertical angles)

∠ABE and ∠CBE are complimentary angles, i.e. ∠ABE + ∠CBE = 90°

∠BEA and ∠AED are supplementary angles. 104 + 76 = 180

Step-by-step explanation:

Vertical angles are opposite angles formed by the intersection of two lines. Vertical angles are congruent to each other.

Complementary angles are angle whose sum add up to 90° while supplementary angles are angles whose sum add up to 180°

Two angles are adjacent if they are placed side by side and share the same vertex.

∠BEA = ∠CED = 104° (vertical angles)

∠ABE and ∠CBE are complimentary angles, i.e. ∠ABE + ∠CBE = 90°

∠BEC and ∠CED are not vertical angles

∠BEA and ∠AED are supplementary angles. 104 + 76 = 180

∠BEA and ∠AED are not adjacent angles

Answers: A B D

Step-by-step explanation:

I did the quiz

Sixty percent of the people surveyed use sunscreen. A random number generator was used to simulate the results of asking the next three people. The numbers 0–5 represent people who use sunscreen, and the numbers 6–9 represent people who do not use sunscreen. What is the probability that two of the next three respondents use sunscreen?

Answers

Answer:

[tex]Pr = 0.50[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

Probability that 2 of 3 use sunscreen

From the attached data, we have:

[tex]S = \{275, 738, 419, 582, 987, 436, 578, 472, 178, 839\}[/tex]

[tex]n(S) = 10[/tex]

Events where 2 of the 3 uses sunscreen is:

[tex]x = \{275, 419, 582, 436, 472\}[/tex] --- i.e. where 0 -5 represents sunscreen

[tex]n(x) = 5[/tex]

So, the required probability is:

[tex]Pr = \frac{n(x)}{n(S)}[/tex]

[tex]Pr = \frac{5}{10}[/tex]

[tex]Pr = 0.50[/tex]

Rectangle A and B have the same Area. Rectangle A has a length of 7m and a width of 4m. Rectangle B has a width of 10m. What is the perimeter of Rectangle B? *

Answers

Answer:

P = 25.6 feet

Step-by-step explanation:

Given that,

Rectangle A and B have the same Area.

The area of a rectangle is given by :

A = lb

[tex]l_Ab_A=l_Bb_B[/tex]

We have,

[tex]l_A=7\ m, b_A=4\ m, b_B=10\ m[/tex]

So,

[tex]l_B=\dfrac{l_Ab_A}{l_B}\\\\l_B=\dfrac{7\times 4}{10}\\\\l_B=2.8\ m[/tex]

The perimeter of rectangle B,

[tex]P=2(l_B+b_B)\\\\=2(2.8+10)\\\\=25.6\ ft[/tex]

So, the perimeter of rectangle B is equal to 25.6 feet.

1. Which of the following represents a function?
(-1, 2), (-2, 1), (-1, -2), (-2, -1)
(3, 4), (-3, 2), (3, 8), (5, 5)
(2, 3), (4,3), (-2, -3), (-4, -3)
(5, 1), (5, 2), (5, 3), (5, 4)

Answers

Answer: ( -2, -1

Step-by-step explanation:

Find the value of g, f, e, and d

Answers

Answer:

g-86=15

g= 15+86=101

e-27=45

e=45+27=72

6f+15+45=180

6f=180-60

6f=120

f=20

d=6f

d=120

PLEASE HELP 35 POINTS
Find the value of x in the triangle shown below.

Answers

Answer:

a

Step-by-step explanation:

Answer:

b is the answer

Step-by-step explanation:

b= 4.123..

Roberto debe leer un libro que contiene 340 páginas en 4 días por lo cual planea la siguiente distribución: el primer día 1/5 de las páginas del libro, el segundo 1/4 de lo que queda por leer y el tercero 1/6 del resto. ¿Cuántas páginas le quedan por leer a Roberto en el cuarto día?

Answers

Answer:

170 pages

Step-by-step explanation:

Roberto must read a book that contains 340 pages in 4 days for which he plans the following distribution

The number of pages he read for the first day :

The first day 1/5 of the pages of the book

This is calculated as:

1/5 × 340 pages

= 68 pages

For the second day:

The second 1/4 of what remains to be read

The number of pages remaining after the first day is calculated as:

340 - 68 = 272 pages

Hence, the number of pages read on the second day is

1/4 × 272 pages

= 68 pages

For the third day

One the third day, 1/6 of the rest was read.

The number of pages remaining after the first day is calculated as:

272 - 68 = 204 pages

Hence, the number of pages read on the third day is

1/6 × 204 pages

= 34 pages

Therefore, the number of pages Roberto has to read on the fourth day is calculated as:

340 pages - (68 + 68 + 34)pages

340 pages - 170 pages

= 170 pages

Estimate: 587 is about what percent of 1,012?

Answers

Answer:

its 58

it is very simple to answer just find the percent of it

Please help and show work!

Answers

Answer:

Step-by-step explanation:

The given quadratic must be rewritten in standard form before anything else is done:  -2x^2 + 8x - 8 = 0.  The coefficients of the x terms are {-2, 8, -8}.

The discriminant b^2 - 4ac is therefore (8)^2 - 4(-2)(-8), or  64 -  64, or 0.

A zero discriminant points to two real, equal solutions.

FIRT TO ANSWER GETS BRAINLYEST
Which best explains whether 9 is a solution to the inequality x greater-than 9?
It is not a solution because 9 is not greater than 9.
It is not a solution because 9 is not less than 9.
It is a solution because 9 is greater than 9.
It is a solution because 9 is less than 9.

Answers

A) it is not a solution because 9 is not greater than 9.

EXPLANATION:
the equation is X > 9

if you replace x with 9,

then the equation would be 9 > 9

9 is not greater than 9. so it is not true.

Hope it helps!
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