how do you simplify this?

How Do You Simplify This?

Answers

Answer 1

Answer:

tan x

Step-by-step explanation:

(tan-x)[sec(pi/2)-x] (sin-x)

We know that tan (-x) = - tan (x)  and sin (-x) = - sin (x)

-(tanx)[sec(pi/2)-x] -(sinx)

(tanx)[sec(pi/2)-x] (sinx)

Using the identity sec = 1/ cos

sec ( pi/2 -x) =1/cos ( pi /2 -x)

We know that cos (s-t)=cos (s) cos(t) + sin (s) sin (t)

1/ ( cos  pi/2  cos x + sin pi/2 sin x) = 1/(0 cos x - 1 sinx) = 1 / sinx

Replacing into the equation

(tanx)[1/ sinx] (sinx)

tan x


Related Questions

The point G (-6, 4) is translated 2 units left.
What are the coordinates of the resulting point G'?
A (-8,4)
B) (-6,2
C (-4,4)
(-8,6)

Answers

Answer:

A

Step-by-step explanation:

By translating 2 units left, it means the x-axis value is made more negative by 2 units

So we are going to subtract two from the x-coordinate

So we have;

(-6-2,4)

= (-8,4)

Solve the equation for the given variable. *
4z + 7 = 31

Answers

Given:-

Step-by-step explanation:

4z+7= 31

4z= 31-7

4Z= 24

Z= 24/4( dividing by 2)

z = 6/1

What's the least common denominator you could use to subtract 1/3 and 1/4

Answers

12 would be the least common denominator

Jamil found that he reads 1/5 of his 115 - page book in 1/4 of an hour. At this rate how many pages does he read in an hour.

Answers

Answer:

Step-by-step explanation:

1/5 of 115= 23

so in 15mins he reads 23 pages.

15mins x 4=60mins

23x4=92

Have a nice day sunshine

Which pair of numbers are relatively prime?

22 and 35
32 and 16
21 and 56
30 and 85

Answers

I believe the answer is 22 and 35!

Answer:

22 35

Step-by-step explanation:

HELPPP PLEASEE!!!!

find value of x and y

Answers

Answer:

x = 74, y = 53

Step-by-step explanation:

x and 106 are supplementary angles, they add to 180. 2y and x are also supplementary angles, and using substitution, you get 2y is equal to 106, so y is 53. x will be 74 degrees.

Deshawn's Bikes rents bikes for $11 plus $5 per hour. Maria paid $51 to rent a bike. For how many hours did she rent the bike?

Answers

8 hours i hope this helps :)

There are 216 identical plastic chips numbered 1 through 216 in a box. What is the probability of reaching into the box and randomly drawing the chip numbered 170? Express your answer as a simplified fraction or a decimal rounded to four decimal places.

Answers

Answer:

The probability of randomly drawing the chip numbered 170 is 1/216 or 0.0046

Step-by-step explanation:

Probability is the likelihood or chance of an event occurring. Probability can be determined using the formula below

Probability = Number of favorable outcome / Total number of possible outcomes.

From the question, we are to determine the probability of reaching into the box and randomly drawing the chip numbered 170.

Here, the number of favorable outcome is 1 (which is the chip numbered 170)

Total number of possible outcomes is 216 ( all the 216 identical plastic chips)

Therefore,

Probability = 1/216 or 0.0046

This is the probability of randomly drawing the chip numbered 170.

The probability of randomly drawing the chip numbered 170 is 1/216 or 0.0046

Is it possible to have a rotation that starts and end in the same quadrant?

Answers

Yes and no. It depends on the situation and how you're asking

quick and simpler please im practicing this for class​

Answers

Answer:

a)  9/100 b) 7/20

Step-by-step explanation:

Brailiest and thx pleease!

Which ratios have a unit rate greater than 1? Choose ALL that apply.


Answers

Answer:

Step-by-step explanation: 7 miles: 3/4 hour, 9/8 miles: 5/6 hour, and 4 miles: 3 and 1/3 hour.

hope this helps !! <3

The ratios that have a unit rate is 9/8 miles:5/6hours and 7miles: 3/4 hours

Unit rate is the ratio of the distance travelled o the time taken.

For us to know which of the ratios has a unit rate greater than 1, we need to divide the distance by the time as shown;

If distance = 9/8 miles and time = 5/6 hours

[tex]Unit \ rate =\frac{(9/8)}{(5/6)}\\Unit \ rate =\frac{9}{8} \times \frac{6}{5}\\Unit \ rate = \frac{54}{40} \\Unit \ rate =1.35 miles/hour[/tex]

Hence the ratio that has a unit rate is 9/8 miles:5/6hours

If distance = 7 miles and time = 3/4 hours

[tex]Unit \ rate =\frac{7}{(3/4)}\\Unit \ rate =\7 \times \frac{4}{3}\\Unit \ rate = \frac{28}{3} \\Unit \ rate = 9.33miles/hour[/tex]

Hence the ratio that has a unit rate is 7 miles:3/4hours

Learn more here: https://brainly.com/question/8406966

write any five applications of cyliner​

Answers

1. pipes

2.cold drink cans

3.water tanks

4.candle

1.pipes
2.cold drinks

The distance between -18 and 15 is equal to
a. 18 - 15
b. 15 - 18
c.-18 - 15
d.15 - (-18)

Answers

I believe is C


c. -18 - 15
C. -18 - 15 for sure

To mail 10 letters costs $ 4.50 . How much would it cost for 12 letters? Assume the relationship is proportional.

Answers

Answer:

12 letters cost 6.30 dollars

Step-by-step explanation:

hope this helps

Answer:

$5.40 for 12 letters

Step-by-step explanation:

you need to find the cost for 1 unit then multiply that by 12, so you take the cost (4.50) and divide it by letters (10) so you get 0.45. So that is the cost of q letter, then you that that unit rate and multi[ly it by the number that you need to figure out (12) so .45x12=5.40  

12 letters=$5.40

365/12 divide it.................................pls help me

Answers

Answer:

30.42 (if rounded to the tenths place)

Step-by-step explanation:

pls help me ??

[tex]help[/tex]

Answers

Answer:

a=110

b=70

c=110

d=70

e=110

f=70

g=110

y intercept of y-6=4(x+5)​

Answers

I don’t really know

Answer: y= 4x+26

Step-by-step explanation: you have to move (-6) to the other side of the equation so y is by itself.. distribute and combine like terms

(I just need an explanation of how to do this cause I’m not sure) find an expression for the area of these shapes

Answers

The area is just base x height over 2
(2p*6m)/2
p*3m = Area

Walter and Brian each have a CD collection. • The number of CDs in Walter's collection can be represented by x. • The number of CDs in Brian's collection is 3 times the number in Walter's collection. • The total number of CDs in both collections is 144. What is x, the number of CDs in Walter's collection?

Answers

Answer:

Number of CDs in Walter's collection = x = 36

Step-by-step explanation:

x denotes number of CDs in Walter's collection.

Also, the number of CDs in Brian's collection is 3 times the number in Walter's collection.

Number of CDs in Brian's collection [tex]=3x[/tex]

Total number of CDs in both Walter's collection and Brian's collection = 144

[tex]x+3x=144\\4x=144\\x=\frac{144}{4}\\ x=36[/tex]

So,

Number of CDs in Walter's collection = x = 36

Which rule describes the transformation?

Answers

Answer:

I think rotation and reflecting

please help guys, i’m so lost aaahhhh


Consider a geometric sequence with a first term of 4 and a fourth term of -2,916.

a. find the common ratio of this sequence.

b. find the sum to infinity of this sequence

Answers

Answer:

Step-by-step explanation:

4r³=-2916

r³=-729

r=-9

b)s=[tex]\frac{4}{1+9}[/tex]

    =[tex]\frac{4}{10}[/tex]

    =[tex]\frac{2}{5}[/tex]

7(1 - y) = -3(y-2)
What is the answer

Answers

Answer:

[tex] \huge y = \frac{1}{4} [/tex]

Step-by-step explanation:

[tex]7(1 - y) = -3(y-2)[/tex]

Expand the terms in the bracket

That's

[tex]7 - 7y = - 3y + 6[/tex]

Add 3y to both sides of the equation

[tex]7 - 7y + 3y = 3y - 3y + 6 \\ 7 - 4y = 6[/tex]

Subtract 7 from both sides by the equation

[tex]7 - 7 - 4y = 6 - 7 \\ - 4y = - 1[/tex]

Divide both sides by - 4

[tex] \frac{ - 4y}{ - 4} = \frac{ - 1}{ - 4} \\ [/tex]

We have the final answer as

[tex]y = \frac{1}{4} \\ [/tex]

Hope this helps you

Jeremy split thirty cookies between himself and his three friends. If Jeremy has half the amount of cookies Aaron has, Monica has a third of the amount Aaron has and half the amount Kylie has, how many cookies does Monica have?

Answers

Answer:

call me daddy boo boo and you want an uppy uppy so say please and ill give ou uppy for answer

Type the correct answer in the box. Use numerals instead of words. Use the clues to find the mystery number. It is greater than 37,493. It is less than 37,503. It is an even number. The value of the mystery number rounded to the nearest ten is less than the mystery number. The value of the mystery number rounded to the nearest thousand is greater than the mystery number.

Answers

Answer:

37,502

Step-by-step explanation:

With the provided details we have:

Range of number = 37,493 - 37,503

The number is even number

Therefore, possible options are:

37,494

37,496

37,498

37,500

37,502

When number rounded to nearest tens, is  less than the original number

Rounding off above numbers to nearest tens we have

37,490

37,500

37,500

37,500

37,500

There is only 2 numbers which full fill the condition of original number number being smaller than the rounded off number.

37,494 and 37,502

The next condition is on rounding to nearest 1,000's

37,494 rounded to 37,000

37,502 rounded to 38,000

Provided that the rounded number in 1000's is more than the original mystery number.

37,000 is less than 37,494 thus not feasible.

38,000 is more than 37,502

This is the mystery number.

Two supplementary angles are in the ratio 2:7. Find the measure of the Acute angle.

Answers

Answer:

y=42.3333333333 (repeating)

Step-by-step explanation:

You need to find the corresponding side. You can see D H is corresponding to E C. So here is what you have to do, find x to (8x - 43) and (2x + 13).

2x + 13 + 8x - 43= 90

10x -30 = 90

     +30  +30

10x = 120

/10     /10 = 12

to check if this is right take x which is 12 and plug it in.

8 x 12= 96 then 96 - 43= 53

2 x 21= 24 then 24 + 13= 37

Next you take 53 and 37 and add it together

53 + 37= 90

about that corresponding side, now you know D H and E C both equal 53

Now you can solve your equation.

53 + 2y + y= 180

53 + 3y = 180

-53           -53

         3y = 127

         /3     /3    

y = 42.333333 (repeating)

to check if this is right take y which is 42.3333333 (repeating) and plug it in.

2y means to multiply y two times so...

42.3333333 (repeating)+ 42.33333333 (repeating)= 84.6666666 (repeating)

y = 42.333333333 (repeating)

E C = 53

add all the numbers together

42.333333 (repeating) + 84.66666666 (repating)+ 53= 180

Therefore y equals 42.33333333 (repeating)

Solve for x
65=6x-1
A) 11
C) 8
B) 1
D) 11
Choose
Untitled Ouestion

Answers

Answer:

А) 11

Step-by-step explanation:

65 = 6x - 1

6x = 65 + 1

6x = 66

x = 11

What is the slope of a line perpendicular to the line whose equation is
15x + 9y = 189. Fully reduce your answer.

Answers

Hope the answer helps!!!!

We want to find the slope of a line perpendicular to 15*x + 9*y = 189.

The slope of the line perpendicular to the given line is 9/15.

First, a general line written in the slope-intercept form is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

And two lines are perpendicular if one has a slope that is equal to the inverse of the opposite of the other line's slope.

So, to find the slope of the line perpendicular to 15*x + 9*y = 189, first, we need to find the slope of this line.

To do it, we need to isolate y.

9y = -15x + 189

y = (-15/9)*x + 189/9

So the slope is -15/9

A perpendicular line to this must have a slope equal to the inverse of the opposite of this, so the slope of the perpendicular line is:

-(-9/15) = 9/15

The slope of the line perpendicular to the given line is 9/15.

If you want to learn more, you can read:

https://brainly.com/question/9379960

Maggie baked 96 cookies in 4 batches. What is the number of cookies per batch?​

Answers

24 cookies per batch

'Increased' is a cue word for​

Answers

Answer:

add

Step-by-step explanation:

increased is another word for add

Answer:

More, added, addition......

Just the words that are making the number bigger.

Can I please get help with the answer I don’t understand

Answers

Your answer is BC = 4x + 8
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