Verify the identity.

cot(x - pi/2) = -tan x

Answers

Answer 1

Use property...

cot(a+b)=cot a cot b - tan a tan b

a=x b=pi/2

Left side --> cot x+pi/2)=cot x cot (pi/2)  - tan x tan (pi/2)

= cot x * 0 - tan x  * 1

=0 - tan x

=- tan x

= Right side  


Related Questions

what is 5 11/24-0.375+

Answers

61/12 = 5.083 is the answer.

Q(2, a) is 5 units away from P(–2, –1). Find all possible values of a.

Answers

Answer:

a = 2

Step-by-step explanation:

Here, we want to find all the possible values of a

If Q is 5 units away from P, then the distance between Q and P is 5 units

Mathematically, to find the distance between two points, we use the following formula

D = √( (x2-x1)^2 + (y2-y1)^2

So we have ;

D = √(2-(-2)^2 + (a-(-1)^2

D = √(16) + (a + 1)^2

Since D is 5, we have

5 = √(16) + (a +1)^2

Squaring both sides to remove the square root, we have

25 = 16 + (a + 1)^2

(a + 1)^2 = 25 - 16

(a + 1)^2 = 9

(a + 1)^2 = 3^2

Since power is equal, equate base

a + 1 = 3

a = 3-1

a = 2

What happens to the equation when y=x becomes y=x-2

Answers

Answer:

The graph moves down by 2 units.

Step-by-step explanation:

What is the slope of the line described by the equation below?
y=-6x + 3
O A. 3
O B. -3
O c. 6
O D. -6

Answers

Answer:

-6

Step-by-step explanation:

y=-6x + 3

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

The slope is -6 and the y intercept is 3

The answer is D.) -6

please help me I like really need help

Answers

Answer:

-110

Step-by-step explanation:

105 - (-5) = 110 but it’s dropping so it’s -110

Escribe la expresión para "la diferencia de 10 y x".​

Answers

Answer:

10-x=d

(d = diferencia de 10 y x)

What is the equation of the line that is parallel to the line y=3x-11 and
passes through the point (1, -6)?
O A. y=3x-9
B. y=-3x-3
O C. y=-1/3x-17/3
O D. y= 3x + 6

Answers

Answer:

A

Step-by-step explanation:

Answer:

A. y = 3x - 9

Hope this helps!

simplify square root of 58
show the steps please♡​

Answers

Answer: 2√14

Step-by-step explanation: First you have to

f(x) = 382 – 3x + 1 1
Find f(-2)

Answers

Answer:

f(x)=382-3x+11

f(-2)=382-3(-2)+11

f(-2)=382+6+11

f(-2)=399

Answer:

399

Step-by-step explanation:

f(-2) = 382 - 3x + 11

382 - 3(-2) + 11 : plug it in

382 + 6 + 11

388 + 11

399

Y=mx+b
Solve for b
Solve for m
Solve for x

Answers

Subtract b from each side to get
y−b=mx
Next, divide each side by x to get y−b/ x= m
.

Answer:Let's solve for b.

Y=Mx+b

Step 1: Flip the equation.

Mx+b=y

Step 2: Add -mx to both sides.

B=-mx +y

lol I can’t be bothered to solve for m so here’s the answer

solve for M vv

M= -b+y / x  -b+y are the numerators and x is the denominator

Solve for x

Can’t be bothered to show work so here you go

X=-b+y/m   M is the denominator and -b+y are the numerators

yea you can Thank me later

A line with a slope of -1/4 passes through the point (8,7). What is it's equation in slope- interception form?

Answers

Answer:

y= -1/4x + 9

Step-by-step explanation:

When given the point (8,7) and the slope -1/4, you have to convert this into a formula called point slope form. This is the formula:

y - y1 = m(x - x1)

First, label the given information.

-1/4= m (slope)

8= x1 (the first x given)

7= y1 (the first y given)

Then, plug in the values into the equation

y - 7 = -1/4(x - 8)

After, do the property of distribution by multiplying the -1/4 with whatever is in the bracket

-1/4 multiplyed by x= -1/4x

-1/4 multiplyed by -8= 2

Next, bring the 7 to the other side of the equal sign by adding the 7 from one side to the 2. Then combine like terms

y - 7 = -1/4x +2

 +7            +7  

This gets you your answer:

y = -1/4x +9

Just need a lil help with this

Answers

Answer:

36 cm

Step-by-step explanation:

Car x travels 174 miles in 3 hours

What equation describes this relation

Answers

Using the speed - distance relationship, the speed of the car is 58 miles per hour.

Recall the equation to calculate the miles per hour :

Speed = (distance ÷ time)

Distance moved = 174 miles

Time taken = 3 hours

The speed of the car in miles per hour can be calculated thus :

Speed = (174 ÷ 3) = 58 miles per hour.

Therefore, the speed of the car in miles per hour is 58 miles per hour.

Learn more : https://brainly.com/question/14429071

What is the product?

Enter your answer as a fraction, in simplified form, in the box.

−4/5x10/16

Answers

Answer:

-1/2

Step-by-step explanation:

can anyone help me please ​

Answers

Answer:

i think it is x= -4/3

Step-by-step explanation:

maybe

Answer:

x=10

Step-by-step explanation:

2x/3+1=7x/15+3

find a common denominator for the fractions=15

2x/3 =_/15 multiple by 5 to get denominator 15 so multiple by 5 on top as well 2x*5=10x

10x/15+1=7x/15+3

-7x/15      -7x/15

3x/15+1=3

-1            -1

3x/15=2

×15/3   ×15/3

x=30/3

Reduce

x=10

DO THE QUESTION OR DIE TRYING.

Answers

Answer:

I am a go with ................................................

DIE TRYING

Step-by-step explanation:

find the measure of angle CFG

Answers

Answer:

Step-by-step explanation:

Step 1:

x + 1 = 5x - 23        Alternate Interior ∠'s

Step 2:

1 = 4x - 23      Subtract x on both sides

Step 3:

24 = 4x     Add 23 on both sides

Step 4:

x = 24 ÷ 4     Divide

Step 5:

x = 6°

Step 6:

5 ( 6 ) - 23    Input x

Step 7:

30 - 23     Subtract

Answer:

∠CFG = 7°

Hope This Helps :)

What is the value of x?

In the given figure QR ∥AB, RP∥ BD,CQ=x+2,QA=x,CP=5x+4,PD=3x.The value of x is

Answers

Answer:

by BPT it will be solved

Step-by-step explanation:

CQ/QA=CP/PD

x+2/x=5x+4/3x

by cross multiplication

answer will be 1

Parallel sides are sides that are equidistant from one another. The value of x is 1

Given that:

[tex]CQ = x + 2\\QA = x\\CP = 5x + 4\\PD = 3x[/tex]

Since:

QR & AB are parallel, and RP & BD are parallel.

Then by theorem of similarities:

[tex]\frac{CQ}{QA} = \frac{CP}{PD}[/tex]

This gives:

[tex]\frac{x+2}{x} = \frac{5x + 4}{3x}[/tex]

Multiply both sides by 3x

[tex]3x \times \frac{x+2}{x} = \frac{5x + 4}{3x} \times 3x[/tex]

[tex]3 \times (x+2) = 5x + 4[/tex]

Open bracket

[tex]3x+6 = 5x + 4[/tex]

Collect like terms

[tex]5x - 3x = 6 -4[/tex]

[tex]2x = 2[/tex]

Divide both sides by 2

[tex]x = 1[/tex]

Read more about parallel sides at:

https://brainly.com/question/1674780

in the function y+2=1/3(x-4)^2, what effect does the number4 have on the graph, as compared to the graph of y=x^2

Answers

Answer: It shifts the graph four units to the right.

Step-by-step explanation: I just did it on apex. Your welcome guys stay safe and dream big:)

A line passes through the points (-3, -1) and (-5, 4). What is the slope.of this line

Answers

Answer:

-2/5

Step-by-step explanation:

[tex]y_{2} - y_{1} \\x_{2} -x_{1} \\4- -1= 5\\ -5--3=-2 \\y=-\frac{2}{5}[/tex]

tl;dr: The slope is -5/2.

Hello!

First, if you get graphing paper and place those points, you'll see that the line is going down instead of up. This tells us that the slope is negative.

Now, we use the rise/run strategy.

Doing so, we are given 5/2. Since this is a negative, the slope will actually be -5/2.

So, the slope is -5/2.

Hope this was helpful. Please, correct me if I got something incorrect. Have a great day!

please help me with this i asked last time but it didn’t some the important stuff so i’m just putting a picture ^

Answers

i think its B but i cant help much cuz i got a quiz thats due soon

i need help with this question

Answers

Answer:

Not at all

Step-by-step explanation:

On the left side, we have 3 people pulling with a force of 50n. That makes the total force 150. On the right side, we have 2 people pulling with 75n force which makes the total force 150n ad well. If the force is the same on each side then the rope cannot move. If they force on one of the sides was greater than the rope would move to that side

-Hope this helps

Answer:

I would say it will move to the ( Right ) because even tho there’s more students on the left there is also more force to the right making the right side have the most force.

Step-by-step explanation: so the answer is it will move to the right because of the higher force.

Is this linear or not? Please explain how you got your answer.

Answers

Linear like they are mutiples of eachother bc if so then yes

they are multiples so yep

The distance from Boston to Philadelphia by plane is 436 kilometers. A pilot flies this route 252 times. Does the pilot travel more or less than 100,000 kilometers?

Answers

Answer: More

Step-by-step explanation: 436x252 = 109872.

Answer:

more than 1000,000

Step-by-step example

well 436 times 252 is 109872 and 109872 minus 1000,000 is 890128 miles therefor a pilot flies more than 1000,000 miles from Boston to Philadelphia

A water cooler holds 15 liters of sports drink. Approximately how many gallons is this? (1 gallon = 3.785 liters)

Answers

Approximately 3.9 gallons I’m sure of

3 gallons

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PLEASE HELP! WILL MAKE BRAINLIEST!!!!!!!!!!

Answers

Step-by-step explanation:

first you have to find the value of X.  So you take both expressions and make them equal to 180 degrees.  Then you solve for X. Once you do that X should equal 30. Then in place of X plug in 30 and solve. it should look like this (3(30)+22).  The answer is 112 degrees.

You could of also looked at your angle and saw it was an obtuse angle.  The only answer that was obtuse was 112 degrees.

I HOPE THIS HELPS!!!

y=50(3)^20
please please please answer soon 20 points

Answers

Answer:174339220050

Step-by-step explanation: Raise 3 to the 20th power, then multiply by 50

I don’t understand this?!!?! Btw it’s question 8

Answers

Answer:

b

Step-by-step explanation:

For each equation, find y when X=-3
a) y = 6x + 8
b) y = 1.5x + 11

Answers

a) y= -10.

6 x -3 = -18. -18 + 8 = -10.

b) y = 6.5

1.5 x -3 = -4.5. -4.5 - 11 = 6.5

Is triangle ABC similar to triangle DEF? Why or why not?

Answers

Answer:

No, because not all corresponding angles are congruent.

Step-by-step explanation:

In order for two triangles to be similar you must have that you know at least 2 corresponding angles are congruent which would also imply the third set of angles are also congruent. You can also tell if two triangles are similar based on their corresponding sides being proportional. Without even checking the proportionally part of corresponding sides, I see the 3 angles in the first triangle do not have the same measurement as the one in the second triangle. Therefore, the triangles cannot possibly by similar.

Hope this helped you love.

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