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

The graph represents the piecewise function:

Answers

Answer:

x if -3is less than x is less than -1

5 is -1 is less than x is less than 1

Step-by-step explanation:

You find the slope of the line for the first piece when the x-values range from -3 to -1.

For the second piece, the line is y=5 because the line is horizontal.

Answer:

x+3; 5

Step-by-step explanation:

The first piece, shows the diagonal part in Quadrant II.

The line segment is colinear with the line y=x+3, because the slope is 1, and the y-intercept is 3. So the piece would be defined as x+3.

The second line segment is the flat one, which has a slope of 0 and its y-intercept is 5. So the piece would be defined as 0x+5 or 5

Andre can run 2 1/2 miles in 3/4 hour. Find his average speed in miles per hour​

Answers

Answer:

3 1/3 miles per hour

Step-by-step explanation:

's' = average speed

(5/2 ÷ 3/4) = (s ÷1)

(5/2 ÷ 3/4) = 10/3

10/3 = s/1

cross-multiply:

3s = 10

s = 10/3

s = 3 1/3 miles per hour

A bag of marbles contains 4 red marbles and 4 green marbles. Each red marble was labeled with a different number, 1 through 4, and each green marble was labeled with a different number, 1 through 4. Which set represents the event, A, that Karen took a marble that was either green or had an even number?

Answers

Answer:

I think is b

Step-by-step explanation:

help asap need to pass the this

Answers

Answer:

57.5% of the students polled prefer pizza

The second one is the and

During the past school year, there were 640 students and 52 teachers. What is the ratio of students to each teacher rounded to the nearest tenth?
a.
12.3:1
c.
160:13
b.
1:12.3
d.
13:160


Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

The ratio of student to teacher is 12.3 to 1

How many triangles exist with the given angle measures?

60°, 60°, 60°

A. Exactly one unique triangle exists with the given angle measures.

B. No triangle exists with the given angle measures.

C. More than one unique triangle exists with the given angle measures.

Answers

Answer:

The sum of the angles in a triangle is 180°, so the angles do form a triangle. Since two of the three angles are congruent, the triangle is an isosceles triangle. An infinite number of isosceles triangles exist with different side lengths. Therefore, more than one triangle exists with the given angle measures.

identify the center and radius of the circle (x-7)^2+(y-11)^2=36

Answers

Answer:

Centre is [tex](7,11)[/tex]

Radius is [tex]6[/tex]

Step-by-step explanation:

The general equation for a circle is written in the form [tex](x-a)^2+(y-b)^2=r^2[/tex] , where [tex](a,b)[/tex] is the centre of the circle, and [tex]r[/tex] is the radius.

For your circle, [tex](x-7)^2+(y-11)=36[/tex], we can compare it with the general equation to find the centre and radius.

[tex]-a = -7[/tex]

[tex]-b = -11[/tex]

[tex]r^2 = 36[/tex]

Therefore, [tex]a=7[/tex], [tex]b=11[/tex] and [tex]r=6[/tex].

Centre at [tex](a,b)[/tex] which is [tex](7,11)[/tex] .

6x^3 +8x^2 -4x = factor this problem

Answers

2x(3x^2+4x-2) should be the answer

Write the name of the property which says a + (b + c) = (a + b) + c​

Answers

Answer:

This is the associative property of addition, which states that you can add or multiply regardless of how the numbers are grouped.

Which figures will have a volume that is greater than 100 cubic units? Select two options.

A. a rectangular prism with dimensions of 4 by 5 by 4
B. a rectangular prism with dimensions of 2 by 12 by 6
C. a rectangular prism with dimensions of 1.5 by 8 by 8
D. a triangular prism that is 6 long and has a triangular face with a base of 4 and a height of 12
E. a cube with side length 4.

Answers

I think that it is b. A rectangular prism with dimensions of 2 by 12

Answer:

B and D

Step-by-step Explanation:

I don't know if this is correct yet but if it's right then great if not then I'm sorry!

Can I get brainliest please?

7. If A (6,8) and B (7, 4J are two points,
find the distance between a andB.
any
- Solo,​

Answers

Answer:

√17 units

Step-by-step explanation:

(6, 8) & (7, 4)

To find the distance between two points, we use the distance formula:

[tex]d = \sqrt{(x_{2}-x_1)^2 + (y_2-y_1)^2 }[/tex]

Plug in the values you know.

[tex]d = \sqrt{(7 -6)^2 + (4 -8)^2 }[/tex]

Evaluate the parentheses.

[tex]d = \sqrt{(1)^2 + (-4)^2 }[/tex]

Evaluate the exponents.

[tex]d = \sqrt{(1) + (16) }[/tex]

Add.

[tex]d = \sqrt{(17)[/tex]

Evaluate the square root.

[tex]d=\sqrt{17}[/tex]

This square root is already fully simplified.

Your answer is √17 units.

Hope this helps!

Ill give you the BRAINLIEST (if it lets me)

Answers

Answer:

C and A

Step-by-step explanation:

I did this test.

C and A

I did this a while ago good luck

ASAP

how did you get the answer

(Will mark brianist)

Answers

The answer is A. None of the other answers would make sense and because choosing 10 from each classroom will provide a better result then the other two.

PLEAEE HELP!! I’ll give brainlist:((

Answers

Answer:

Ok the area of the first circle is 154m Rounded.

The circumference of circle one is 44m Rounded.

Area of the 2nd figure is 2827ft Rounded.

And the circumference of circle 2 is 189ft Rounded.

Step-by-step explanation:

Have a nice day

FIRST BRAINLIEST WORTH 15 POINTS What is the area of the figure below?

Answers

Answer A hope this helps

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

Which angle has a cotangent value of -1?
a. Quadrant 1
b. Quadrant 2
c. 120 degrees
d. 135 degrees

Answers

Answer:

Solution given:

cotangent x=cot x=-1

now

x=cot -¹(-1)

x=180-45°

x=135°

So

ans is d. 135 degrees.

as cot is negative in 2nd quadrant.

a line has a slope of 8 and includes the points (7,y) and (5,-7) no link plz

Answers

Answer: y = 9

Step-by-step explanation:

an equation of y=8x-47 will let the line pass through the point (5,-7) and the point (7,9)

i used the desmos graphing calculator website to graph it

hi! please help i’ll give brainliest

Answers

Answer:

The last answer is it I think.

Step-by-step explanation:

please help !!
Problem A painter is painting a mural on a wall. He has a 20-foot ladder. He needs to work on
a part of the wall that is 16 feet above the ground. How far from the base of the building should
he place the foot of the ladder to make sure that the ladder reaches his work area? Show your
work

Answers

Answer:

The worker should put the ladder 4 feet away from the wall.

Simplify: m^2n^3 aanm^2a^2n^4

Answers

9514 1404 393

Answer:

  a^4·m^4·n^8

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)(a^c) = a^(b+c)

__

m^2n^3 aanm^2a^2n^4

= a^(1+1+2)·m^(2+2)·n^(3+1+4)

= a^4·m^4·n^8

Find the value of x in the isosceles triangle shown below

Answers

Answer:

The answer is 12

Hope it helps

Answer:

x = 12

Step-by-step explanation:

Since the 2 legs and base angles are congruent the triangle is isosceles.

The line from the vertex to the base is a perpendicular bisector dividing the triangle into  2 right triangles.

Using Pythagoras' identity in either of the 2 right triangles with legs 3 and [tex]\frac{1}{2}[/tex] x , hypotenuse [tex]\sqrt{45}[/tex] , then

([tex]\frac{1}{2}[/tex] x )² + 3² = ([tex]\sqrt{45}[/tex] )²

[tex]\frac{1}{4}[/tex] x² + 9 = 45 ( subtract 9 from both sides ²)

[tex]\frac{1}{4}[/tex] x² = 36 ( multiply both sides by 4 to clear the fraction )

x² = 144 ( take the square root of both sides )

x = [tex]\sqrt{144}[/tex] = 12

No more asking me to click on links answer truthfully

Answers

Ok so the correct answers are both A. and B.

It would be A. between 1.5 and 2, because the number 1.77 is in between those two numbers. It is greater than 1.5 but also less than 2.

It would be B. to the right of 1.71, because the number 1.77 is greater than 1.71.

I hope this helps! Good luck on your homework!!

Carlos is NOT correct because

Answers

Answer:

Carlos should do his own work

An angle measures 150° less than the measure of its supplementary angle. What is the
measure of each angle?

Answers

150 and 30 should be the answer

P(A) = 7/20 P(B) = 7/20 P(A or B) = 49/80, P(A and B)= ?​

Answers

Answer:

P(A and B) = 7/80

Step-by-step explanation:

The given values of the probabilities of the different events are;

P(A) = 7/20

P(B) = 7/20

P(A or B) = 49/80

P(A and B) = Required

We have by probability theory for any event;

P(A or B) = P(A) + P(B) - P(A and B)

Therefore;

P(A and B) = P(A) + P(B) - P(A or B)

Plugging in the values gives;

P(A and B) = 7/20 + 7/20 - 49/80 = 7/80

∴ P(A and B) = 7/80

Which set of ordered pairs represents y as a function of x?
O {(-4, 0),(-2,2).(-4,-2), (-2, 4),(-4, - 4)}
{(0,4), (1,7),(1,10), (2, 13), (3, 16)}
{(3, 1), (3, 2), (3, 3), (3, 4), (3,5)}
{(3, 3), (-1,-1),(-2,-2), (4,4),(-4,-4)}
I need the answer ASAP!!!

Answers

I think it is the 4th one :)
should be the third one

please help me with 7 and 8. If they’re right i’ll give you brainliest.

Answers

Answer:

7,D all real numbers greater than or equal to 0

8,G all real numbers less than or equal to 2

I really wasn’t paying attention so if you can put an explanation down please that would be amazing

Answers

Answer:

16+3 = 19+ 6 =25

Step-by-step explanation:

Add all the numbers

Answer is= 25

Select all ratios equivalent to 5:2

A) 25:10
B) 10:4
C) 4:1

Answers

Answer:

A and B

Step-by-step explanation

The answers are both A) and B).

It is A) because you multiply 5 times 5 which equals 25, and 2 times 5 equals 10.
It’s is B) because you multiply 5 times 2 which equals 10, and 2 times 2 which equals 4.
In conclusion both of these ratios — 25:10 & 10:4 — are proportional, or equal, to 5:2.

I hope this helps!! :)
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