If p = 3sec theta and q= 3 tan^2 theta - 1, then find p-q. ​

Answers

Answer 1

Answer:

[tex]p - q = 3 \sec\theta - (3 { \tan}^{2} \theta - 1) \\ = 3 \sec \theta - 3 { \tan}^{2} \theta + 1 \\ from \: identities \: \: { \tan }^{2} \theta + 1 = { \sec }^{2} \theta \\ = 3 { \sec } \theta - 3( { \sec }^{2} \theta - 1) + 1 \\ = 3 \sec\theta - 3 { \sec}^{2} \theta + 3 + 1 \\ = - 3 { \sec }^{2} \theta + 3 \sec\theta + 4 \\ = - 3( { \sec}^{2} \theta - \sec \theta - \frac{4}{3} )[/tex]


Related Questions

Granola cost $2.79 for 16.4 ounces at this rate how much does 25 ounces of granola cost

Answers

Answer:

30

Step-by-step explanation:

16.4 divided by 2.79 is 5

Well its rounded to 5

25 + 5 = 30

Answer - 30

What is the 1000th digit to the right of the decimal point when $\frac{4}{15}$ is expressed as a decimal?

Answers

Answer:

6

Step-by-step explanation:

Aops Question

What is the probability that a point chosen at random on the grid will lie in the shaded region?

36%
40%
64%
60%

Answers

Given:

A grid with a shaded region.

To find:

The probability that a point chosen at random on the grid will lie in the shaded region.

Solution:

We have,

Total number of small boxes = 100

Number of blue boxes (shaded region) = 36

Now,

probability that a point chosen at random on the grid will lie in the shaded region is

[tex]\text{Probability}=\dfrac{\text{Number of blue boxes (shaded region)}}{\text{Total number of small boxes}}[/tex]

[tex]\text{Probability}=\dfrac{36}{100}[/tex]

To find the probability in percent, multiply it by 100.

[tex]\text{Probability}\%=\dfrac{36}{100}\times 100[/tex]

[tex]\text{Probability}\%=36\%[/tex]

Therefore, the correct option is A.

The tape diagram below represents 100% percent.

What percent is represented by the shaded area?

Answers

The shaded area is 75%

Marly has to get some cavities filled at the dentist. The dentist charges a fee of $35 plus $43 per cavity. If Marly ends up having a bill of $164 and c represents the number of cavities, which of the following equations could be used to find how many cavities Marly had filled?

Answers

Answer: 35+43c=164

Step-by-step explanation:

I worked it out

HELPPP!!!!! ASAPPPP!!!!!

Answers

Answer:

C

Step-by-step explanation:

DOMAIN ARE INPUT VALUES WHICH IS LEFT OVAL.

NEED HELP ASAP PLZZZZ!!

Answers

The answer is X = 7

If your grade is a 93% and you got 20 points taken off your grade, what will your new grade be?

Answers

Your grade would be 73%

Alice,belle and Chloe each played a game. Alice score was five times belles score. Chloes score was two times Alice’s score. Wrote down the ratio of Alice’s score to belles score to chloes score

Answers

Answer:

Alice : Belles : Chloe

  5   :       1      :   10

Step-by-step explanation:

If we represent Belles score as x, we can tell the following.

Alice's score will be 5x since her score is 5 times Belles score     (5)(x)

Chloe's score is 10x since her score is 2 times Alice's score         (2)(5x)

Now we can see the following ratio.....

Alice : Belles : Chloe

 5x   :    x      :  10x

(get rid of the x and the get)

Alice : Belles : Chloe

  5   :       1      :   10

The ratio of Alice's score to Belle's score to Chole's score is 1 : 5 : 10.

What is ratio?

The relationship between two numbers which shows how much bigger one quantity is than another.

According to the given question

Alice's score was five times Belle's score.

Chloe's score was two times Alice's score.

Let Belle's score be x.

Therefore,

Alice's score = 5x

Chloe's score = 2×5x = 10x

So,

ratio of Alice's score to Belle's score to Chole's score = x : 5x : 10x

⇒Alice's score: Belles's Score: Chole's score = 1 : 5 : 10

Learn more about ratio here:

https://brainly.com/question/13419413

#SPJ2

plzzzzzzzzzzzzzzzzzzzzzzz

Answers

a)x^2+2x

we can factorise this by x

x(x+2)

b)2x^2-6x

we can factorise this by 2x

2x(x-3)

c)15x-10x^3

we can factorise this by 5x

5x(3-2x^2)

d)9x^2+3x^3

this can be factorised by 3x^2

3x^2(3+x)

What is the length of CD?in this diagram angle ABC ~ angle EDC
A.5
B.3
C.2
D.4

Answers

5
Have a great day! Hope that is the answer.
Answer:
The answer is A. 5

what x 3 = 120.

2x what = 120

Answers

Answer:

40×3 =120

2×60=120

Step-by-step explanation: have a good day

Diego has 3 times as many comic books as Han.
How many comic books does Diego have if Han has:
1)6 comic books?
2)N books?
Diego has 27 comic books. How many comic books does Han have?

Answers

Answer:

Han has 9 books

Step-by-step explanation:

If diego has 27 comic books than that means that all you have to do is divide 27/3. then that equals to 9

what is 1 times 1 plus 0?

Answers

Answer:

it is one

Step-by-step explanation:

1

hope this helps! :))

PLZZZZ HELP MEEEEE X(

Answers

Answer:

120°

Step-by-step explanation:

From the above question, the polygon is and hexagon, this means it has 6 sides.

Hence: Sums of the interior angles of a polygon = Sum = (n-2) × 180°

n = 6

Hence,

Sum of the interior angles = (6 - 2) × 180°

= 4 × 180°

= 720°

Hence:

The measure of an interior angle of a hexagon =

= Sum of the interior angles/Number of sides of the polygon

= 720°/6

= 120°

Answer:

120

Step-by-step explanation:

1.What is 1/3 of 3/2 ?
can you guys help me​

Answers

Answer: 1/2

Step-by-step explanation: 1/2 times 3 is the improper fraction 3/2

Answer:

The answer is 1/2

Step-by-step explanation:

1/3 x 3/2

To break it up you multiply the top numbers to get 3

The you'd multiply the bottom numbers to get 6

so your answer is 3/6 which is also equal to 1/2

please help me out! determine the domain on this graph

Answers

Answer:

Domain: 6 </= x < 11

Step-by-step explanation:

Domain refers to the set of possible input values, therefore the domain of a graph consists of all the input values shown on the x-axis.

Remember (this is very important!) :

Closed circles means including that number whereas open circles means not including that number

Domain: 6 </= x < 11

Note: </= means "less than or equal to"

Graph 16x - 4y = 2.​

Answers

       Hola! :D te dejo la respuesta los 2 archivos adjuntos - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

              P.D: espero haberte ayudado aunque sea un poquito

                                                                                 

please can someone help my assignment​

Answers

Answer:

1st ka b and 2nd ka b hoga by simplification

Please help I need an answer urgently

Answers

Answer:<4 and <2

Step-by-step explanation:

that should be the answer PLEASE tell me if i am wrong. Thank you.

Answer:

<4 and <2 because in complementary angle the sum of two angles should be equal to 90°

help its math again i forgot how to do it theres 2​

Answers

Answer:

first is 6/8 and second is 7/8

Step-by-step explanation:

You deposit $400 in an account. The account earns $18 simple interest in 9 months. What is the annual interest rate

Answers

Use the formula,

I = Prt

P = Principal amount = 400

I  = interest = 18

r = annual rate

t = time in years = 9/12 = 3/4

so,

18 = 400*r*3/4

r =  0.06

so the annual interest rate is 0.06 or 6%.

answer correctly for 5 star and brainliest

Answers

Answer:

[tex]m=\frac{5}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-2, -4)

Point (2, 6)

Step 2: Find slope m

Substitute [Slope Formula]:                    [tex]m=\frac{6+4}{2+2}[/tex]Evaluate Addition:                                   [tex]m=\frac{10}{4}[/tex]Simplify:                                                   [tex]m=\frac{5}{2}[/tex]

What is a part to whole ratio?

Answers

Answer:

a ratio that compares a selected number of parts. to the total number of parts in a whole.

Step-by-step explanation:

Substitution algebra
Please answer fast :) Don't answer this with troll stuff plz, I don't have much points ​

Answers

Answer:

We will use substitution to solve the system. Step 1 is partially complete.

[tex]y = -2x - 9\\6x - 5y = -19\\\\6x - 5(-2x - 9) = -19\\\\6x + 10x + 45 = -19\\\\16x + 45 = -19\\\\16x = -64\\\\x = -4[/tex]

We will now use what we got for x to solve for y in one of the original equations.

[tex]6(-4) - 5y = -19\\\\-24 - 5y = -19\\\\-5y = 5\\\\y = -1[/tex]

The solution is (-4, -1).

PLEASE HELP I AM BEING TIMED!!!
Find the Mesurement of angle 1

Answers

Answer:

41 i think

Step-by-step explanation:

prob not right

Which shows how the distributive property can be used to evaluate 7 times 8 and four-fifths?
56 + StartFraction 28 over 5 EndFraction = 56 + 5 and three-fifths = 61 and three-fifths
56 times StartFraction 28 over 5 EndFraction = StartFraction 1568 over 5 EndFraction = 313 and three-fifths
15 + (StartFraction 35 over 5 EndFraction + four-fifths) = 15 + StartFraction 39 over 5 EndFraction = StartFraction 75 over 5 EndFraction + StartFraction 39 over 5 EndFraction = StartFraction 114 over 5 EndFraction = 22 and four-fifths
15 times (StartFraction 35 over 5 EndFraction + four-fifths) = 15 times StartFraction 39 over 5 EndFraction = StartFraction 15 over 1 EndFraction times StartFraction 39 over 5 EndFraction = StartFraction 585 over 5 EndFraction = 117

Answers

Answer:

I have no clue as to what the options were, but the answer is 61 and three-fifths.

Step-by-step explanation:

Well, the fraction options were a little distorted, so I'll work it out anyway.

7 • 8 4/5

7(8 + 4/5)

7 • 8 is 56, and 7 • 4/5 is 28/5.

56 + 28/5

28/5 as a mixed-number fraction (I think that's what it's called) is 5 3/5.

56 + 5 + 3/5

61 + 3/5

61 3/5 (61 and three-fifths)

There!

(Sorry about not getting the options...)

Answer:

A: 56+ 28/5 = 56 + 5 3/5 = 61 3/5

Step-by-step explanation:

look at the pic for explanation

nothing bad  

Using the common​ denominator, what is an equivalent fraction to 11/8 ​?

Answers

Answer:

Equivalent fractions to 11/8

11/8, 22/16, 33/24, 44/32, 55/40, 66/48, 77/56, 88/64, 99/72, 110/80

3(-2x+5) +5 = 20
-6x+15+5=20
What is the next step in solving this equation?
A. Distribute
B. Eliminate the coefficient
C. Combine like terms
D. Eliminate the variable

Answers

Answer:

A

Step-by-step explanation:

Solve the equation.
-2(x + 3) + 5x = -39

Answers

Answer:

x= -11

Step-by-step explanation:

-2x-6+5x=-39

3x-6=-39

3x=-39+6

3x=-33

x= -11

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