Which of the following options represents a logical first step that can be used
to prove the trigonometric identity
cos(x)/ cos(x)+sin(x)tan(x)=cos^2(x)?

Which Of The Following Options Represents A Logical First Step That Can Be Usedto Prove The Trigonometric

Answers

Answer 1

Answer: Option B.

Step-by-step explanation:

Here we can start with the relation

cos(x)^2 + sin(x)^2 = 1

multiply both sides by cos(x)

cos(x) = cos(x)^3 + sin(x)^2*cos(x) = cos(x)^2*(cos(xI + sin(x)^2/cos(x))

now we can replace sin(x)/cos(x) = tg(x)

cos(x) = cos(x)^2*(cos(x) + sin(x)*tan(x))

So the correct option is B


Related Questions

What is the domain of the function shown on the graph?

Answers

Answer:

Step-by-step explanation:

Looking at the arrows on the graph, it appears that as the graph keep growing UP unbounded, it also keeps growing to the left unbounded (to negative infinity, to be exact). Looking to the right, it appears that as the graph decreases unbounded (the y values keep getting smaller), the graph keeps growing in the x direct to positive infinity. So the domain is

- ∞ < x < ∞

Solve:
-9(-5-3x)=21
A) 8/9
B) -8/9
C) 22/9
D) -22/9

Answers

Answer: B) -8/9

Step-by-step explanation:

I would start by looking inside the parenthesis to see if anything could be simplified. We see the terms -5 and -3x, and upon realizing that there is no way to simplify, we can go ahead and just simplify the left side of the equation as much as we can before worrying about breaking the equation down. Distribute the -9 to the -5 and the -3x (multiply -9 by -5 and -9 by -3x). Multiplying two negative numbers will result in a positive value, so the left side of your equation should end up looking like this: 45+27x=21. Now, we can start working to get the variable on its own. Subtract 45 from both sides of the equation. On the left side this cancels out and leaves you with 27x. On the right side you have more of the negative value than positive value, so you end up with -24. The equation now looks like this: 27x=24. The only thing left to do is divide the equation by 27. On the left side of the equation, this leaves you with just x. On the right side, you get -24/27. Normally at this point I would divide out to get the decimal form (I prefer working with decimals) but bc the answer choices are all fractions there's not really a good use to, so instead let's just find the greatest common denominator (GCD) which would be 8. (Just as a clarification the GCD is the largest number you can divide both numbers by evenly.) Divide both the numerator and denominator by eight leaves you with -8/9. Therefore, x= -8/9.

This formula v = u + at, links:

initial velocity (u)

final velocity (v)

acceleration (a)

time (t)

What is the value of v if u = 5, a = 10 and t = 2?

Answers

Answer:

[tex]v=u+at[/tex]

[tex]v= 5+(10)\times2\\v=25[/tex]

A triangle on a coordinate plane is translated according to the rule T-8,4(x,y). Which is another way to write this rule

Answers

Answer:

(x, y) → (x + 8, y + 4)

Step-by-step explanation:

Answer: C

Step-by-step explanation

Just took the test

Pleaseee answer fast!!!! Solve the system of equation: y= 7/2x-3 and y= 7/2x +3

Answers

Answer:

The answer is no solution because these two lines have the same slope, meaning they are parallel. Parallel lines never intersect.

Answer:

No solution.

Step-by-step explanation:

Because y equals 7/2x-3, and 7/2x+3, we can say that both of these equations are equal to each other.

Thus, we have 7/2x-3=7/2x+3

(7/2)x-6=(7/2)x

x-6=x

-6=0

This is a false statement, so therefore this system of equations has no solution.

However, you can clearly see this as these lines are parallel lines as they have the same slope, 7/2. The solution to  a system of equation is the intersecting point, but as we know about parallel lines they  never intersect!

Hope this helps!

Simplify an Expression
Quick
Check
Simplify each expression involving signed numbers
-7-2=
12 + (-4)= |
-3(-6) = 1
18

Answers

Answer:

-10827

is the answer for your question I think

Answer:

[tex]-9[/tex]

[tex]8[/tex]

[tex]18[/tex]

Step-by-step explanation:

[tex]-7-2=-9[/tex]

[tex]12+(-4)=8[/tex]

[tex]-3(-6)=18[/tex]

Solve the proportion. What number is 20% of 40?

Answers

Answer:

What is 20 percent (calculated percentage %) of number 40? Answer: 8.

Step-by-step explanation:

happy to help ya:)

What must be added to each term of the ratio 2:3 so that it may become equal to 4:7

Answers

Step-by-step explanation:

HOPE THE ANSWER IS CORRECT AND USEFUL

A box is filled with9 yellow cards,2 red cards, and 9 blue cards. A card is chosen at random from the box. What is the probability that the card is not red? Write your answer as a fraction in simplest form.

Answers

Answer: 9/10

Step-by-step explanation:

Total cards are 20

Out of these, only 2 are red. So, the probability of the card not being red is 18/20 = 9/10

Answer:

Brainliest here! >:D

Step-by-step explanation:

the is a total of 20 cards

2 of them of red

so 18 of the 20 (18/20) is not red

so the probability theroticatily is 9/10 or 90%

Teena's calculator is broken and does not have key 9 that works! With this broken calculator she found out the value of (-35) x 99. Explain your reasoning carefully and clearly

Answers

Answer:

(-35) * (100 - 1)

Step-by-step explanation:

She was able to find the value of (-35) * 99 without using the missing 9 button on her calculator.

The easiest way to do this is to replace 99 with another set of numbers that has the same value as 99.

(100 - 1) has the same value as 99. So, Teena can replace 99 with (100 - 1):

(-35) * (100 - 1)

It will yield the desired result.

Ran's doctor is monitoring his heart rate. The equation h=65t represents the relationship between the number of beats of his heart (h) and the number of minutes that have passed (t). If 120 seconds have passed, how many times has his heart beat?

Answers

Answer:

130 times

Step-by-step explanation:

If you convert the time to minutes, 120 seconds is 2 minutes. Since Ran's heart beats 65 times a minute, you multiply 65 by 2 and get 130

A. A worker with 1700 hours of training is paid $40 per month.
B. A worker who works 40 hours is paid $1700.
C. There are 40 workers who are paid $1700 per month.
D. A worker with 40 hours of training is paid $1700 per month

Answers

Answer:

d.

Explanation:

Look at the title of the categories in the chart. 40 is categorized under “hours of training,” meaning 40 hours of training. 1700 is categorized under “monthly pay.” Put the information together and it means $1,700 for 40 hours that month.

Find the area of the figure. If needed, round to the nearest tenth.

Isosceles trapezoid
An isosceles trapezoid with bottom base length of 14 feet, top base of 7 feet, and height of 6 feet.
a.
63 sq. ft
b.
27 sq. ft
c.
49 sq. ft
d.
126 sq. ft


Answers

Answer:

a. 63 ft²

Step-by-step explanation:

A= 1/2(b1+b2)h

b1= 14 ftb2= 7 fth= 6 ftA= 1/2(14+7)*6= 63 ft²

Answer:

[tex]63 {ft}^{2} [/tex]

Answer A is correct

Step-by-step explanation:

[tex]area = \frac{1}{2} (a + b)h \\ = \frac{1}{2} \times (7 + 14) \times 6 \\ = \frac{1}{2} \times 21 \times 6 \\ = \frac{126}{2} \\ = 63 {ft}^{2} [/tex]

hope this helps

Find the y-intercept of the following equation. Simplify your answer.

y = 4x + 4


y-intercept

Answers

Answer:

The slope is 4 and the y intercept is 4

(0,4)

Step-by-step explanation:

The equation is in the form

y = mx+b where m is the slope and b is the y intercept

y = 4x+4

The slope is 4 and the y intercept is 4

(0,4)

which of the following is a solution of y > |x| -5?

A.(-4,1)
B.(-1,-4)
C.(4,-1)​

Answers

Answer:

the answer is A. (-4,1)

Step-by-step explanation:

because the point is inside of the shades area of the function. meaning is including the value. the other two points are in the dotted line meaning is not included  

I need help im lazy :)

Answers

Answer:

[tex]x=-8[/tex]

Step-by-step explanation:

→All you need to do for this equation is, divide both sides by -300. You do this to get "x," by itself:

[tex]2400=-300x[/tex]

[tex]\frac{2400}{-300} =\frac{-300x}{-300}[/tex]

[tex]-8 = x[/tex]

At Shimla, temperature was -1℃ on Saturday and rose by 3℃ on Sunday. What was the temperature on Sunday?

Answers

Answer is 2 °C
-1 + 3 = 2




Nick simplified this expression. Is his answer correct?
O No Nick multiplied before dividing
O No. Nick should have converted to all decimals first.
O No. The first step should be division
O Yes. Nick did not make a mistake

Answers

Answer:

is A

Step-by-step explanation:

No. Nick multiplied before dividing

Answer:

the answer is nick multiplied before dividing.  

Step-by-step explanation:

Liam highlighted the columns in the multiplication table below to find equivalent ratios. A multiplication table. In the row labeled 2, the numbers 2, 4, 6, 8, 10, 12, 14, 16, and 18 are highlighted. In the row labeled 6, the numbers 6, 12, 18, 24, 30, 36, 42, 48, and 54 are highlighted. The same number goes into each box to make the two ratios below equivalent. StartFraction 4 Over blank EndFraction, StartFraction blank Over 36 EndFraction Which number goes into both boxes?
A-6
B-9
C-12
D-18

Answers

9514 1404 393

Answer:

  C-12

Step-by-step explanation:

You want to find n such that ...

  [tex]\dfrac{4}{n}=\dfrac{n}{36}\\\\4\cdot36=n^2\qquad\text{multiply by $36n$}\\\\\sqrt{4\cdot36}=n\\\\2\cdot6=\boxed{n=12}[/tex]

Answer:

12

Step-by-step explanation:

Took the test on edg I got 100%.

Please answer correctly quick !!!!!!!!!! Will mark brainliest !!!!!!!!!!

Answers

Answer:

see below

Step-by-step explanation:

first flip x and y and solve for y

write new equation as x =-3(y+6) distribute

x = -3y -18 add 18 on both sides

x +18 = -3y divide by -3

(-1/3) x -6 or (x +18)/-3 or [tex]\frac{-x}{3} -6[/tex]

Calculate log 10.5 , Given that log 2 = 0.30, log 3 = 0.48 and log 7 = 0.85

Answers

Answer:

Step-by-step explanation:

log 2.5=log 21/2=log (3*7)/2=log3+log7-log 2=0.48+0.85-0.3=1.03

If 4u-5v=23 and 2u+4v=-8, find the value of u+v

Answers

Answer:

-1

Step-by-step explanation:

4u-5v=23

-2(2u+4v=16) We multiply by -2 here to destroy u's.

4u-5v=23

-4u-8v=16 we addition both processes

-13v=39 so, v=-3

4u-5(-3)=23, 4u=8 so, u=2

u+v= -3+2= -1

FIND THE MISSING NUMBER!



8, 18, 11, 15, 5, 4, 14, 9, 19, 1, 7, 17, 6, 16, ?, ?, ?, ?, ?,

Answers

Answer:

Step-by-step explanation:

10,12,13,20, 21,

which method can be used to solve 11x13

Answers

Answer:

Simple column method

Step-by-step explanation:

  11

x 13

  33

 110

 143

Answer:

Use the grid method, since it is the most obvious option. But, you may also use the distribution method.

Step-by-step explanation:

Distribution method:

divide 13 into 10 +3

then multiply 11 with 10 and 3 individually.

This can be written as 11(10+3) = 110+33 = 143

Please mark brainiest


What is the surface area of the rectangular prism?

Answers

Answer:

Right rectangular prism

A=2(wl+hl+hw)

l Length

w Width

h Height

What is the lcm of 150 and 180

Answers

Answer:

900

Step-by-step explanation:

multiply 2x2x3x3x5x5

4x9x25 which is 900

From sea level, a submarine descends 40 feet per minute. Where is the submarine in relation to sea level 5 minutes after it starts descending?

Answers

Answer:

It is expected to be at a distance of 200 ft below the sea level

Step-by-step explanation:

We are told that the sub marine has a descending rate of 40 ft per minute.

Thus, after five minutes, the distance it would have descended would be 40 ft per minute * 5 minute = 200 ft

Thus, the submarine is expected to be 200ft below sea level

At a state park, the rangers' office knows the current population of deer in the park is 482 animals and predicts the population will increase by 5% per year for the foreseeable future. The park's acreage can currently sustain a population of 645 deer, and the rangers estimate that number will increase over the next t years by 20t - t2. Which system of equations can be solved to find the number of years from now, t, when the population of deer will exceed the number sustainable by the park's acreage?

Answers

Answer:

In six years the population will exceed 645 deers

Rewrite the expression 24x - 12 using the distributive property

Answers

Answer:

12(2x-1)

Step-by-step explanation:

24x - 12

Factor out a 12 from each term

12*2x -12*1

12(2x-1)

Answer:

[tex]12(2x - 1)[/tex]

Step-by-step explanation:

[tex]24x - 12[/tex]

Factor out a 12 from each

[tex]24x - 12 \\ 12(2x - 1)[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

PLZ HELP ME W DIS ASAP!!! MARKING BRAINIEST!!!

Answers

Answer:

x = ±11

Step-by-step explanation:

x^2 = 121

Take the square root of each side

sqrt(x^2) = ±sqrt(121)

x = ±11

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