If sin theta < 0 and cot theta < 0, which quadrant(s)

could the terminal side of theta lie?

Answers

Answer 1

Answer:

Step-by-step explanation:

sinθ < 0 means below the x axis

cotθ = cosθ/sinθ < 0

As sinθ  is already < 0 means cosθ has to be > 0 meaning right of the y axis.

Right of y and below x is the IV quadrant.

Answer 2

The quadrant in which angle theta lie if sin theta < 0 and cot theta < 0 exists Quadrant IV (4).

What is meant by Trigonometric Identities?

Trigonometric Identities are equality conditions that hold for all possible values of the variables in the equation and use trigonometry functions. There exists numerous unique trigonometric identities that relate a triangle's side length and angle.

here, we have,

Sine, cosine, and tangent are the fundamental three operations in trigonometry. The cotangent, secant, and cosecant functions are derived from these three basic functions. On these functions, all trigonometrical notions exists built.

Trigonometric identities are equality conditions in trigonometry that hold for all values of the variables that appear and are defined on both sides of the equivalence. These exists identities that, geometrically speaking, involve certain functions of one or more angles.

we have,

sinθ < 0 means below the x axis

cotθ = cosθ/sinθ < 0

As sinθ  is already < 0 means cosθ has to be > 0 meaning right of the y axis.

Right of y and below x is the IV quadrant.

Hence, The quadrant in which angle theta lie if sin theta < 0 and cot theta < 0 exists Quadrant IV (4).

To learn more about trigonometric identities refer to:

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Related Questions

Write an equation for the hangers below and solve (will give brainless if correct!)​

Answers

Answer:

1) 5x+2=17

2) 5(2+x)=17

Step-by-step explanation:

1) subtract 2 from both of the sides, then you get 5x=15. Divide 5 on both sides, then you get X=3

2) Use distributive property and multiply 5 and 2 and you get 10, then do the same thing with the x. You should get 10+5x=17. Subtract 10 from both sides. Then you are left with 5x=17, divide 5 on both sides you should get x=7/5

Hope this helps!

3. A certain container of mouthwash usually costs $2.99 at a store. If it is on sale for 20% off how much does the mouthwash cost now?
A. $2.75
B. $2.77
C. $2.40
D. $3.74

Answers

Answer:

the answer is D Because

Step-by-step explanation:

so I will say about $3.74

The product of two consecutive even integers is 6 more than 3 times their sum. The integers are: a. 6,8 b. 16, 20 12, 16 d. 20, 24 C.​

Answers

Answer:

   a. 6,8

Step-by-step explanation:

The only offered answer choice that lists consecutive even integers is ...

   a. 6,8

_____

Consecutive even integers differ by 2, not 4.

__

Check

The product is 6×8 = 48.

Three times the sum is 3(6+8) = 3(14) = 42.

The product is 6 more than 3 times the sum. 42+6 = 48

)) Type the missing numbers in this sequence: -3, -8, -13, -18, ​

Answers

Answer:

23

Step-by-step explanation:

first off if your to take away 3 from 8 you'd get five and the same goes for the rest

I.e

8-3=5

13-8=5

18+5=23

as 23 -18 would give you you 5

Use properties to evaluate 1/3 (-5 ÷ 1/2 ) 1/4?

A. - 5/2
B. 5/8
C. - 5/8
D. 5/2

Answers

I believe the correct answer is C

If (-3)-5=1/xwhat is the value of x?

Answers

Option A

Option A -243

if any doubt leave a comment and don't forget to give BRAINLIEST

Write the equation of the line that passes through (-2, 4) and is perpendicular to x = 3.

Answers

Check the picture below.

Please help me :/!!!!

Answers

Answer:

(3, 9)

Step-by-step explanation:

Set 3x and 2x+3 equal to each other forming an equation in x.

3x=2x+3

Solve for x.

x=3

Substitute the given value of x into the equation y=3x.

y=3x3

Solve for y.

y=9

(x, y) = (3, 9)

Hope this helps :)

Is (x + 6) a factor of f(x) = x3 − 3x2 + 2x − 8? Show how to use either the remainder theorem or the factor theorem to explain your reasoning.

Answers

Answer:

x + 6 is not a factor of f ( x ) = x³ - 3x² + 2x - 8 because when -6 is substituted into the function, the answer is not 0.

Step-by-step explanation:

→ Substitute x = -6 into f ( x )

( 6 )³ - 3 × ( 6 )² + ( 2 × 6) - 8

→ Simplify

216 - 108 + 12 - 8

→ Simplify further

112

PLEASE HELP WITH THIS ONE QUESTION

Answers

Answer:

Step-by-step explanation:

x = 2

What is 20% of $1575.00

Answers

step:

20% = 20/100

of = ×

20/100 × $1575.00

answer : $315

Step:

20% = 20/100

of = ×

20/100 × $1575.00

Answer : $315

The cost of producing higlighter​s with the company logo printed on them consists of a onetime setup fee of $160.00 plus $0.65 for each higlighter produced. This cost can be calculated using the formula C=160.00+0.65p, where p represents the number of higlighters produced and C is the cost. Use the formula to calculate the cost of producing 2400 higlighters. (Do not inlcude a comma in your answer)

Answers

Answer:

7839 ...........

is 0.667 elastic or inelastic?​

Answers

Answer:

inelastic is the answer

keep safe

A caterer needs between 42 and 50
cupcakes for dessert. Name two possible
numbers between 42 and 50 that are
multiples of 4. Explain.

Answers

Answer:

404 & 408

Step-by-step explanation:

5.
Identify the axis of symmetry of the parabola.



A. y = −1

B. x = −1

C. x = 1

D. y = 1

Answers

Answer is C x=1 because that’s the middle of it.

Answer:

B. x = −1

Step-by-step explanation:

In the graph, the vertex of the parabola hits point (-1,-2). Therefore, the axis of symmetry is x = -1. It is not y = -2, since the parabola opens vertically, not horizontally.

0.7619047619 as a fraction?
which one
1. 1/16
2. 16/21
3. 2
4. 4

Answers

Answer:

16/21

Step-by-step explanation:

2
Select the correct answer.
Which statement is true about this equation?
-412p+5) + Bp=-11
A. The equation has one solution, p=2.
B. The equation has one solution, p=-2.
C. The equation has no solution.
D. The equation has infinitely many solutions.

Answers

Step-by-step explanation:

The equation has infinite solution p=2 that's tour variable

A car travelling at a constant speed covers 585 km in 9 hours. In how much time will it cover in 520 km? I want the answer in direct or inverse proportion.

Answers

Answer:

It took eight hours to travel 520km

Step-by-step explanation:

A pollutant breaks down at a rate of 2% a year. What fraction of the current amount will be present in 20 years? Let X(0) = 1.

Answers

Answer:

Step-by-step explanation:

X = 1(1 - 0.02)ⁿ

X = 1(0.98)²⁰

X = 0.6676

67%

Using an exponential equation, it is found that 66.76% of the current amount will be present in 20 years.

A decaying exponential function has the following format:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

A(t) is the initial value.r is the decay rate, as a decimal.

In this problem, breaks down at a rate of 2% a year, hence [tex]r = 0.02[/tex], and:

[tex]A(t) = A(0)(1 - 0.02)^t[/tex]

[tex]A(t) = A(0)(0.98)^t[/tex]

The fraction after 20 years is A(20), hence:

[tex]A(20) = A(0)(0.98)^{20}[/tex]

[tex]A(20) = 0.6676[/tex]

66.76% of the current amount will be present in 20 years.

A similar problem is given at https://brainly.com/question/14773454

A local hamburger shop sold a combined total of 637 hamburgers and cheeseburgers on Wednesday. There were 63 fewer cheeseburger sold than burgers. How many hamburgers were sold on Wednesday?

Answers

X + x-63=637
2x=700
X=350
Burgers=350
Cheeseburgers=350-63
Cheeseburger=287

The width of a rectangle is 6 kilometers
a
less than twice its length. If its area is
56 square kilometers, find the
dimensions of the rectangle.

Answers

Answer:

9,333333333333333 and 6 Km

Step-by-step explanation:

The width of a rectangle is 6 kilometers

less than twice its length. If its area is

56 square kilometers, find the

dimensions of the rectangle.

the area of ​​the rectangle is found by multiplying the width by the height, you have the area and the width, divide the area by the width and find the length

56 : 6 = 9,333333333333333 Km

-----------------------------

check

9,333333333333333 * 6 = 56

the answer is good

¿Cuál es la pendiente perpendicular a la pendiente m = 3 ?

Answers

Answer:

The slope of a line perpendicular to a vertical line is zero.

Step-by-step explanation:

Evaluate (32 – 1)when z = 6

Answers

Answer:

17

Step-by-step explanation:

(3z - 1) when z = 6

Let's plug in 6 into the equation (3(6)-1)

Now we multiply the parenthesis (18-1)

Now we subtract (17)

So the answer is 17!

Evaluate the expression using the values given.

4y(y + x); use x= 3/2, and y = -5/4

Answers

Answer:

-5/4 or -1 1/4

Step-by-step explanation:

Okay! We'll take this problem one part at a time so that the process is less confusing and less difficult. Here's what our expression looks like when we replace x with 3/2 and y with -5/4:

[tex]4(-\frac{5}{4} )(\frac{3}{2} +-\frac{5}{4} )[/tex]

Looks a little scary! We can start by working within the parentheses and adding the two fractions together. First, we have to make each fraction have the same denominator, so we can multiply each fraction by 3/2 to get both our fractions a denominator of 4.

[tex]\frac{3}{2} *\frac{2}{2} =\frac{6}{4}[/tex]

[tex]\frac{6}{4} + -\frac{5}{4} =\frac{1}{4}[/tex]

Now, our expression is a little easier to work with. It looks like this now:

[tex]4(-\frac{5}{4} )(\frac{1}{4})[/tex]

First, let's multiply 4 by -5/4. Then, we'll take that product and multiply it by 1/4 to get our final answer.

[tex]\frac{4}{1} * -\frac{5}{4} =-\frac{20}{4} =-5[/tex]

Alright, this is our simplest expression yet. What's -5 times 1/4?

[tex]-\frac{5}{1} * \frac{1}{4} =-\frac{5}{4}=-1\frac{1}{4}[/tex]

So our answer is -5/4, or -1 1/4. Hopefully that's helpful! :)

Find the missing value using the given information

(4,p), (p,-3), m=5/3

Answers

Answer:

p = 11/8

Step-by-step explanation:

We are trying to find the slope, so use the slope formula

m = ( y2-y1)/(x2-x1)

  5/3  = ( -3 -p)/ ( p-4)

Using cross products

5(p-4) = 3(-3-p)

5p-20 = -9-3p

Add 3p to each side

5p+3p -20 = -9-3p+3p

8p-20 = -9

Add 20 to each side

8p-20+20 =-9+20

8p =11

Divide by 8

8p/8 = 11/8

p = 11/8

41/2≤1.2x what is the answer

Answers

Answer:

i can help just meassage me

Step-by-step explanation:

ok thak u

What ordered pair describes the location of point A?
Enter your answer by filling in the boxes.



HELP ASAP

Answers

(8,6) the graph shows that the x is 8 and the y is 6


A delivery company has a fleet of vans. The annual operating cost in dollars) per van is C = 0.37m + 2600, where m is the number of miles traveled by a van in a year. What number
of miles will yield an annual operating cost of $13,700?
mi

Answers

Answer:

Step-by-step explanation:

put C=13,700 and find m

The number of miles that will yield an annual operating cost of $13,700 is approximately 30,000 miles.

How to determine What number of miles will yield an annual operating cost of $13,700

To find the number of miles that will yield an annual operating cost of $13,700, we need to solve the given equation for \(m\):

\[C = 0.37m + 2600\]

Given \(C = 13700\), we can substitute this value into the equation and solve for \(m\):

\[13700 = 0.37m + 2600\]

Subtract 2600 from both sides:

\[11100 = 0.37m\]

Now, divide both sides by 0.37:

\[m = \frac{11100}{0.37}\]

Calculate the value of \(m\):

\[m \approx 30000\]

So, the number of miles that will yield an annual operating cost of $13,700 is approximately 30,000 miles.

Learn more about operating cost at https://brainly.com/question/30566291

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A line contains the points (1, 2) and (0,1). What is the equation of the line?

Answers

Answer:

y = x + 1

Step-by-step explanation:

Slope: (1-2)/(0-1) = -1/-1 = 1

y-intercept: 1 - (-2)(0) = 1

y = x + 1

brainiest to whoever correct

Answers

Answer:

y = 138

Step-by-step explanation:

90 + 4x + 3x + 6 = 180

96 + 7x = 180

7x = 84

x = 12

———

3(12) + 6

36 + 6

42

———

180 - 42 = 138

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