Simplify the expression using trigonometric identities: sec (–θ) – cos θ.

Answers

Answer 1

Answer:

sin θ . tan θ

Step-by-step explanation:

Note : -

sec ( - θ ) = sec θ

Formula / Identity : -

sec θ = 1 / cos θ

sec ( - θ ) - cos θ

= [ 1 / cos θ ] - cos θ

{ LCM = cos θ }

= [ 1 / cos θ ] - [ cos²θ / cos θ ]

= [ 1 - cos²θ ] / cos θ

{ 1 - cos²θ = sin²θ }

= sin²θ / cos θ

{ sin²θ = sin θ . sin θ }

= sin θ . sin θ / cos θ

{ sin θ / cos θ = tan θ }

= sin θ . tan θ

Hence, simplified.


Related Questions

which number will reach if we move 6 steps to the right -3

Answers

Answer:

If you meant -3 + 6, then the correct answer is 3.

You should put some extra effort in composing questions with all the required information, like a picture maybe.

Answer:

your answer has to be 3

Step-by-step explanation:

if you were to move to the right in number line you have to add so -3+6 is equals to 3

Pease someone help me with this.

I just need two more tiles to create but I don't know how they would look like.

I will show below what I have filled and what the question is asking.

Question: How many different layouts are possible for a path that is five feet long? Draw them all here:

Answers

Answer:

go get that girl

Step-by-step explanation:

sike  you use what you got the first time

Answer:

If the path is 5 feet long, then you could only have a limited amount of layouts...so- you could only have 5 limited spaces in one layout, making it 5 DIFFERENT LAYOUTS.

(I don't know what they're really asking, but I did what makes sense, SORRY if I'm wrong, I'm going to try and solve it better/draw it.)

20 points!!!!!!!!!!!!!

Answers

Answer:

C   132°

Step-by-step explanation:

The measure of <ABG is the sum of the measures one exterior angle of each polygon.

The sum of the measures of the exterior angles of a polygon, one per vertex, is 360°.

In a regular polygon, all exterior angles are congruent.

Measure of one exterior angle of a regular pentagon:

360°/5 = 72°

Measure of one exterior angle of a regular hexagon:

360°/6 = 60°

m<ABG = 72° + 60°

m<ABG = 132°

You are correct.

Answer:   C   132°

hey I need someone to help me

Answers

Answer:

A and F

Step-by-step explanation:

You plug in each one and see which ever one gets 20.

Which of the following is NOT true about the expression?
-5x3 + 12x2 - 9x - 8
It has a leading term of 5
O The leading coefficient is 5,
The constant term is 8.
ch
O There are no negative coefficients

Answers

The statements which is not true about the expression given is; It has a leading term of 5.

According to the question;

The expression given is; -5x3 + 12x2 - 9x - 8.

Since it is an expression; all other statements can be assumed true except; It has a leading term of 5; in which case the leading term is; -5x³

As such, the statements which are not true is;

It has a leading term of 5

Read more:

https://brainly.com/question/11386252

Bruno's Burgers has a cook to server ratio of 2 to 5. The total number of servers and cooks is 42. How many more servers does Bruno's Burgers employ than cooks?

Answers

Answer:

18

Step-by-step explanation:

2 to 5 2+5=7 42/7=6

6x2=12. cooks

6x5=30 servers

servers subtracted by cooks equals difference

30-12=18

Mr. Wilhelm got a $2 discount on
the purchase of 5 bags of peat moss.
If he paid $7.40, what was the price
for a bag of peat moss before the
discount?

Answers

Answer:

9.40

Step-by-step explanation:

7.40+2.00=9.40

Students are running in a relay race. Each team will run a total of 3 miles. Each member of a team will run 1/3 mile
How many students will a team need to complete the race? Circle the correct number below

Answers

Answer:

9 students

Step-by-step explanation:

If 1 student runs a 3rd we need 3 students to run 1 mile.

Since we need 3 times that amount of miles we multiply the amount of students it takes to run 1 mile so that we find out how many we need to run 3 miles.

3 x 3 = 9

They will need 9 students I hope this helps have a great day :)

Is 6,702,512 divisible by 9?

Answers

Yes it is also add more points next time

will give brainiest pls help!

Answers

Step-by-step explanation:

given,

x² + y² = 40

2xy = 24

(x + y)² = x² + 2xy + y²

so,

40 + 24 = 64

therefore option C is correct

hope this answer helps you dear!

Answer:

The answer should be C which is 64

Given that f(x) = x2 + 8x – 5 and b = f(4), what is the value of -b? (Use only the digits 0-9 and the negative sign if necessary to enter the value.)

Answers

Plug in 4 for x
f(4) = 4^2 + 8(4) - 5
f(4) = 16 + 32 - 5 = 43
B = 43, so -B = -43

Solution: -43

Help me please guys hurry!!!

Answers

Answer:

1. False 2. 7.11 > -7.1 3. -3 < -1 and -3 <= -1 <= is less than or equal to. 4. m + 7 => 8.2 5. {3, 4} Hope this helps even though I am late!

Step-by-step explanation:

Which situation represents a proportional relationship?
A) The cost of purchasing a basket of apples for $2.00 per pound plus $4.00 for the basket

B) The cost of purchasing apples for $2.25 per box of apples with a delivery charge of $5.00.

C)The cost of purchasing apples for $2.75 per pound with a coupon for $2.00 off the total cost.

D) The cost of purchasing apples for $2.50 per pound plus a shipping fee of $0.15 per pound.


PLEASE HELP MEE ILL GIVE OUT BRAINLIEST

Answers

Answer:

D

Step-by-step explanation:

In order to join the next yoga class at the YMCA, you must pay a $50 annual fee, then $4 for each class you attend. How many classes can you attend if you budget to spend $98.00 that year on Yoga?

Answers

Answer:

12 Yoga classes

Step-by-step explanation:

50 + 4x = 98

Subtract 50 on each side

4x = 48

Divide by 4 on each side

x= 12

You can attend 12 yoga classes in a year with a $98 budget.

PLS HELP FIND GRADIENT PLSSS DUE TMRW GIVING BRAINLIEST FOR FIRST ANSWER

Answers

Whats the question?......................

Answer:  

For a;  

The answer will be 3  

For b;  

The answer will be -4  

Step-by-step explanation:  

To find the gradient of the lines, you must pick 2 points on the line and then find  [tex]dy/dx[/tex]  

I hope this helped!  

Can I have brainliest?  

Have a great day/night/afternoon!  

(I already went to the other question you posted, do not worry.)

- ❤ 7272033Alt ❤

PLEASE HELP ⁉️ POR FAVOR SOMEONE IM DESPERATE tHIS IS DUE IN THE mORiNG!

Answers

Answer:

See below

Step-by-step explanation:

1) Total points = 252) Points earned = 213) Percent score = 84%

Proportion:

21 / 25 = 84% / 100%

Solving the others in the table

21 out of 25 points:

21/25 = x/ 100 ⇒ x = 100*21/25 = 84

15 out of 20 points:

15/20 = x/100 ⇒ x = 100*15/20 = 75

47 out of 50 points:

47/50 = x/100 ⇒ x = 100*47/50 = 94

28 out of 30 points:

20 / 30 = x/100 ⇒ x = 100*20/30 = 66.66

19 out of 45 points:

19/45 = x/100 ⇒ x = 100*19/45 = 42.22

3 out of 4 points:

3/4 = x/100 ⇒ x = 100*3/4 = 75

PLEASE HELP ME I AM CONFUSED
Sara bought 3 4 of a pound of bananas and 3 5 of a pound of pears. How much fruit did Sara buy?

Answers

Answer:

69

Step-by-step explanation:

because 34plus 35 will give you 69

(8 points) will mark brainliest!! pls help:)

Answers

The answer is -21/8 or -2 5/8

Which table does NOT represent a linear function?

Answers

Answer:

3rd

Step-by-step explanation:

3rd one because rate of change is not same

18 - 15 / 0 - -1 = 3

20 - 18 / 1 = 2

21 - 20 / 1 = 1

Answer: i honestly think it would be the table with:

-1,15

0,18

1,20

2,21

Step-by-step explanation: hope this helped ty for the points

If 1,600 divided by n = 4, what is the value of n?
A 40
B 400
C4,000
D40,000

Answers

Answer:

B) 400

Step-by-step explanation:

To find the value of n, you would have to divide 1600 by 4. 1600/4=400.

Answer:

400

Step-by-step explanation:

1600 4

pls help i need it.

You are the Parish Youth Ministry treasurer Every year your organization conducts a fundraising activity to help the poor school-children in your parish. This year, your organization aimed to help 500 school-children by providing them school supplies. You have been tasked by the Parish Priest to lead this year's fundraising activity. Together with your co-officers, you go to Divisoria which is known to be the place where the cheapest prices for school supplies can be found. Here is the list of the items that you need and their prices. what is the total amount of this price per item? make a clear and accurate computation of the trial amount needed to buy all the school supplies that you need. present it to the praish priest who will approve budget. guide questions:
1. how much money does your organization need for this project?
2. if you already have a an existing fund of php 1,200.00, do you still need to raise a fund or not? why?
3. are you also a member/officer of an organization in your parish? if yes, write one among your remarkable experience for being a member of the organization. ​

Answers

Step-by-step explanation:

each child gets a certain amount of items costing the specified price by item.

so, we need to multiply the number of children with the number of items with the price per item to get the total cost.

500×3×3.5 for pencils = 5,250

500×5×7.5 for notebooks = 18,750

500×1×21.75 for crayons = 10,875

500×2×9.26 for pad paper = 9,260

total 44,135

since we have only 1,200 available in the existing fund, we need a new one to cover the remaining

44,135 - 1,200 = 42,935

Solve the following questions: 17 x 10 = 24 x 100 = 6 x 1000 =

Answers

Answer:

17 x 10= 170

24 x 100= 2,400

6 x 1000= 6000

Step-by-step explanation:

The measure of an interior angle of a regular polygon is 144°. Find the number of sides in the polygon



• n = 4



• n = 6



• n = 10



• n = 15

Answers

Answer:

The number of sides of the regular polygon is 10

There are 564 men and women working in a factory.
There are twice as many women as men.
How many men are working in the factory?

Answers

Answer:

564x2=1128 men

Step-by-step explanation:

Answer:

there are1139 women are working in the factory

What does it mean to say that a function is linear?
Select all that apply.
A. The function has a graph that includes the point (0,0).
B. The function can be described by an equation of the form y = mx + b.
C. The function has a constant rate of change.
D. The function has a straight-line graph.
| E. The function has a rate of change that increases.

Answers

A function is linear if:

B. The function can be described by an equation of the form y = mx + b.

C. The function has a constant rate of change.

D. The function has a straight-line graph.

A function is said to be linear if it is a straight line graph and it can be represented by the equation:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

A linear function has a constant rate of change (either increasing or decreasing).

Find out more at: https://brainly.com/question/21835898

Which equation models this situation?
The sum of 23 and a number is 39.
O A. 23 + x = 39
B. 23 - x = 39
C. 39 + x = 23
O D. 23+ 39 = x

Answers

A is the correct answer


Find x

Will be marked brainliest

Answers

Answer:

x = -49

Step-by-step explanation:

The sum of the angles of a triangle is 180°. Set up the following equation and solve for x.

[tex]-x-5+37+99=180\\\\-x+131=180\\\\-x=49\\\\x=-49[/tex]

I
Graph the direct variation equation. Y=1/3x
Which graph is correct

Answers

It’s A , or the first graph

1) Which multiplication expression is equivalent to
-8 + (-8) + (-8) + (-8)?

Answers

Answer:

-8 x 4

Step-by-step explanation:

Multiplication is really just repeated addition. In multiplication, the 2 terms are the number being added and the number of times it is added. In this case, the number being added is -8 and it is being added 4 times. Therefore, the multiplication expression must be -8 x 4.

-32 that's the answer

Step-by-step explanation:

that's easy

The area of a rectangle is 24 square inches. Determine both dimensions if the length is 6 inches less than three times the width

Answers

Answer:

width is 4 inches

length is 6 inches

Step-by-step explanation:

the length is 6 inches less than three times the width

l = 3w - 6

a = l * w

a = (3w - 6)w

a = 3w^2 - 6w

area of the rectangle is 24 square inches

3w^2 - 6w = 24

subtract 24 from both sides

3w^2 - 6w - 24 = 0

Divide both sides by 3

w^2  - 2w - 8 = 0

Factor

(w - 4)(w + 2) = 0

w = {-2, 4}

disregard the negative root since measurement must be positive

w = 4

l = 3w - 6

l = 3(4) - 6

l = 6

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