In Which Quadrant is this true

In Which Quadrant Is This True

Answers

Answer 1

Given:

[tex]\sin \theta <0[/tex]

[tex]\tan \theta <0[/tex]

To find:

The quadrant in which [tex]\theta[/tex] lie.

Solution:

Quadrant concept:

In Quadrant I, all trigonometric ratios are positive.

In Quadrant II, only [tex]\sin\theta[/tex] and [tex]\csc\theta[/tex] are positive.

In Quadrant III, only [tex]\tan\theta[/tex] and [tex]\cot\theta[/tex] are positive.

In Quadrant IV, only [tex]\cos\theta[/tex] and [tex]\sec\theta[/tex] are positive.

We have,

[tex]\sin \theta <0[/tex]

[tex]\tan \theta <0[/tex]

Here, [tex]\sin\theta[/tex] is negative and [tex]\tan\theta[/tex] is also negative. It is possible, if [tex]\theta [/tex] lies in the Quadrant IV.

Therefore, the correct option is D.


Related Questions

Complete the angle addition postulate for the following angle

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Answer:

measure of angle GEO.....

PLEASE HELP!!!

Write the factored form of the least common denominator needed to simplify this expression

Answers

Yea I’m not really sure I need help on that too

Answer:

(g+5)x(g-3)

Step-by-step explanation:

For the given function, determine consecutive values of x between which each real zero is located. f(x)= -8x^4-3x^3-11x^2+8x+16

Answers

Answer:

Option C: there are zeros between x = 1 and x = 2, x = 0 and x = -1

Step-by-step explanation:

The function is given as;

f(x) = -8x⁴ - 3x³ - 11x² + 8x + 16

Since it's the real zero of the polynomial we are looking for, it means there is a possibility of getting an imaginary zero of the polynomial.

A zero is the value of x that will make the polynomial equal to zero.

Let's try;

x = -2;

f(-2) = -8(-2)⁴ - 3(-2)³ - 11(-2)² + 8(-2) + 16

f(-2) = -128 + 24 - 44 - 16 + 16

f(-2) = -148

Let's try x = -1;

f(-1) = -8(-1)⁴ - 3(-1)³ - 11(-1)² + 8(-1) + 16

f(-1) = -8 + 3 - 11 - 8 + 16

f(-1) = -8

Let's try x = 0;

f(0) = -8(0)⁴ - 3(0)³ - 11(0)² + 8(0) + 16

f(0) = 16

Lets try x = 1

f(1) = -8(1)⁴ - 3(1)³ - 11(1)² + 8(1) + 16

f(1) = -8 - 3 - 11 + 8 + 16

f(1) = 2

Let's try x = 2;

f(2) = -8(2)⁴ - 3(2)³ - 11(2)² + 8(2) + 16

f(2) = -128 - 24 - 44 + 16 + 16

f(2) = -164

From the values of f(x) gotten from x= -2 to x =2, we can see that the zeros will be closest to x = 0 and x = - 1 and also between x = 1 and x = 2 since that is the range that produced f(x) to be close to zero.

Sam is skiing down a mountain. He starts at the peak 97 yards above sea level and skis down the mountain at a rate of 1.5 yards per second. If it takes him 3 minutes to reach flat ground at sea level, what is the measure of the angle that the mountain slope forms with the ground at sea level to the nearest degree?

Answers

Answer:

5.2 degrees the mountain slope forms with the ground at sea level

The angle that the mountain slope forms with the ground at sea level is 20.64°

What is speed?

"The distance covered by an object in unit time."

What is hypotenuse?

"The longest side of a right triangle."

What is sine angle?

"In a right triangle for angle θ ,

sin(θ) = opposite side / hypotenuse "

For given example,

Consider the following figure for given example.

Sam starts skiing at the peak 97 yards above sea level.

⇒ XY = 97 yards

He skis down the mountain at a rate of 1.5 yards per second.

speed = 1.5 yards per second

It takes him 3 minutes to reach flat ground at sea level.

⇒ t = 3 minutes

⇒ t = 180 seconds

XZ is the distance between peak of a mountain and the ground.

Using speed formula,

speed = XZ / times

⇒ 1.5 = XZ / 180

⇒ XZ = 1.5 × 180

⇒ XZ = 270 yards

This means the hypotenuse of right triangle XYZ is 270 yards.

Now, we need to find the angle that the mountain slope forms with the ground at sea level.

[tex]\Rightarrow sin(\theta)=\frac{XY}{XZ}\\\\\Rightarrow sin(\theta)=\frac{97}{270}\\\\ \Rightarrow sin(\theta)=0.3526\\\\ \Rightarrow \theta = sin^{-1}(0.3526)\\\\\Rightarrow \theta=20.64^{\circ}[/tex]

Therefore, the angle that the mountain slope forms with the ground at sea level is 20.64°

Learn more about sin(θ) here:

https://brainly.com/question/1870057

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Range of f(x)=4x+6

^help please

Answers

Answer:

Step-by-step explanation:

the range of f(x) = 4x + 6 is all real numbers

Answer:

it's a linear function, so the range is all real numbers

The terminal side of 0 is in quadrant II and cos 0 = -5/13. What is sin 0?

Answers

Answer:

[tex]\displaystyle \sin\theta=\frac{12}{13}[/tex]

Step-by-step explanation:

We are given that:

[tex]\displaystyle \cos\theta =-\frac{5}{13}\text{ where $\theta$ is in QII}[/tex]

Recall that cosine is the ratio of the adjacent side to the hypotenuse. Using the Pythagorean Theorem, solve for the opposite side (we can ignore the negative for now):

[tex]o=\sqrt{13^2-5^2}=12[/tex]

And since θ is in QII, sine is positive, and cosine and tangent are both negative.

Sine is the ratio of the opposite side to the hypotenuse. Therefore:

[tex]\displaystyle \sin\theta=\frac{12}{13}[/tex]

What the person above me said love
Hope it helps!

Last year, of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates that planned to provide a holiday gift to their employees. Suppose the survey results are based on a sample of business owners. a. How many business owners in the survey planned to provide a holiday gift to their employees this year

Answers

It would be 4 business owners will gift their employees

find the surface area of the square pyramid

1. 26 ft²

2. 36 ft²

3.40 ft²

4. 56 ft²

Answers

Answer:

4. 56 ft²

Step-by-step explanation:

SA = (4×4)+(4×½×4×5)

= 16+40

= 56

I really need help with this one

Answers

Answer:

i thinh 20 in

Step-by-step explanation:

Answer:

20pi in

Step-by-step explanation:

The formula for the circumference of a circle is 2\pi r

R is radius

2 * pi * 10

20 pi

Units - 20 pi in.

brenda runs 3 miles every morning.What is the time taken to complete her daily jogging if she jogs one mile in 6 mins

Answers

6x3=18 so the answer is 18 minutes

Which table shows a proportional relationship between a and b?
A.
a b
3 9
4 12
5 20
B.
a b
20 25
24 30
32 40
C.
a b
4 12
5 15
6 24
D.
a b
3 4
6 9
12 16

Answers

Answer:

A

Step-by-step explanation:

3 goes into 9

4 goes into 12

And 5 goes into 20

What is the distance from the origin to point P graphed on the complex plane below?

Answers

Answer: (b)

Step-by-step explanation:

Given

Point P can be written as [tex]z=2-5i[/tex]

Distance of Point P can be given by [tex]\left | z \right |[/tex]

[tex]\Rightarrow \left | z\right |=\sqrt{2^2+(-5)^2}\\\Rightarrow \left | z\right |=\sqrt{4+25}\\\Rightarrow \left | z\right |=\sqrt{29}[/tex]

Thus, option (b) is correct.

Answer:

the answer is b

Step-by-step explanation:

does this graph show a function pic out of the multiple choice to explain how

Answers

Answer:

B

Step-by-step explanation:

The vertical line test means that if there can't be two y values on the same x point. For example, if you put a vertical line through the red line, it would hit two points, meaning that it isn't a function.

Find the area of the shape below 9cm 6cm 15 cm 11 cm

Answers

Answer:

8910cm^2

Step-by-step explanation:

Since there is no photo ill just multiply the 4 measurements

9x6x15x11

What's the shape? I'll be more than glad to help but I don't see the shape below. Comment underneath this and I'll try helping out.

A rectangular room is 4 times as long as it is wide, and its perimeter is 50 meters. Find the dimension of the room

Answers

Answer:

Width=5m

Lenght= 20m

Step-by-step explanation:

L= Lenght

W= width

perimeter = (2L + 2W) ......eqn(1)

From the question, length of the rectangle is 4 times of it's width

Then

L = (4W)........eqn(2)

But perimeter = 50

Fromeqn(1)

(2L + 2W)= 50........eqn(3)

Sub eqn(1) in eqn(3)

2(4W) + 2W = 50

8W + 2W= 50

10W= 50

W=5

From (1)

L = (4W)

L= 4×5= 20

Lenght= 20

need help with this Q&A 5

Answers

Answer:

C

Step-by-step explanation:

Translate the description as an algebraic expression:
the ratio of 3 and the product of 7 and r​

Answers

The answer as a ration is 3:7r

Find the greatest four digit square number by division method​

Answers

9999 is largest 4 digit number, and 100^2 is 10000, or 1 greater than the largest 4 digit number. This means that the closest square root of the largest perfect square is most likely 99. So 99^2 (9801)is the largest perfect square of four digits.

What is the ratio of the side length of the side opposite any 30 degree angle and the length of the hypothesis ?

Answers

Answer:

1 : 2

Step-by-step explanation:

the ratio is 1 : 2

_____

In triangle CVR, the midpoint of segment CR is S and the midpoint segment CV is T. What term can be used to describe segment ST

a. angle bisector
b. chord
c. midsegment
d. perpendicular bisector

Answers

Answer:

C. Midsegment

Step-by-step explanation:

A midsegment is the line segment connecting the midpoints of two sides of a triangle. Since a triangle has three sides, each triangle has three midsegments. A triangle midsegment is parallel to the third side of the triangle and is half of the length of the third side.

The picture below is just an example of what midsegments look like. If you draw out triangle CVR, put points in between CR and CV, and draw a line connecting the two points. You'll see that it looks exactly like a midsegment.

The term "midsegment" is being used to denote the ST segment.

A midsegment is a line that connects the midpoints of 2 triangle edges. A triangle's midsegment is half the size of the triangle's 3rd side and runs parallel to it.

If we create a triangle CVR, insert points across CR and CV, and link the two points with a line.

So, Option "C" is the correct answer to the following question.

Learn more:

https://brainly.com/question/2273557?referrer=searchResults

The perimeter of parallelogram ABCD is 96cm. AD is 9 cm more than twice AB. Find the lengths of all four sides of ABCD.

Answers

Answer: [tex]AB=CD=13\ cm\ \text{and}\ BC=AD=35\ cm[/tex]

Step-by-step explanation:

Given

ABCD is a parallelogram

Side AD is 9 cm more than twice AB i.e.

[tex]AD=9+2AB[/tex]

Also, for parallelogram

[tex]\Rightarrow AB=CD,BC=CD[/tex]

Perimeter is the sum of the sides

[tex]\therefore AB+BC+CD+AD=96\\\Rightarrow AB+AD+AB+AD=96\\\Rightarrow AB+AD=48\\\\\text{Substitute the value of AD}\\\Rightarrow AB+9+2AB=48\\\Rightarrow 3AB=39\\\Rightarrow AB=13[/tex]

So, [tex]AD=35\ cm[/tex]

Thus, [tex]AB=CD=13\ cm\ \text{and}\ BC=AD=35\ cm[/tex]

Answer: AB=11

AD=31

BC=31

CD=11

Step-by-step explanation:

In parallelogram GHJK if mJKG=115° find m&KGH.

Answers

Answer:

x = 65 degree

Step-by-step explanation:

x + 115 = 180 degree (sum of adjacent angles of a parallelogram is 180 degree)

x = 180 - 115

x = 65 degree

To find a reasonable estimate using decimal numbers, round the decimal to the nearest whole number, so for example 3.4 x 7.5 You can round 3.4 and 7.5 what would the the answer be? I need help answer please

Answers

Answer:

The answer after rounding is 24

Step-by-step explanation:

You would round down 3.4 to 3 and round up 7.5 to 8

3 x 8 = 24

The actual answer of 3.4 x 7.5 is 25.5, so 24 isn't too far off.

Please help i just need to know how to answer these kind of questions

Answers

Answer:

Since you didn't ask for the answer

Step-by-step explanation:

sec(∆)=1/cos(∆)

For the above diagram,cos(∆)=15/17

sec(∆)=1/(15/17)

NOTE:I replaced theta

Expand 3(c + 3).
3(c + 3) =

Answers

3(c+3) = 3*c + 3*3 = 3c + 9

Answer:

3c + 9

Step-by-step explanation:

Remember to multiply everything in the brackets by the number outside the brackets.

The bus ride was 35 minutes long. If the ride ended at 12:05 a.m., what time did the ride begin?

Answers

Answer:

11:30 A.M.

Step-by-step explanation:

Answer:

11:30

Step-by-step explanation:

12.05- 35 min and its 11:30

hope that helps bby<3

Find the ratio of sin (A) please help

Answers

Answer:

8/17

Step-by-step explanation:

take angle A as reference angle

using sin rule

sin A = opposite / hypotenuse

sin A = 16/34

sin A = 16/34

sin A = 8/17

Answer this question pls? Its 20 pts

Answers

Answer:

B   a = 180 -77-60

Step-by-step explanation:

The angles add to 180 degrees since they form a straight line

77+ 60+a = 180

a = 180 -77-60

The answer is B.

Step-by-step explanation:

We know that the sum of angles in a straight line = 180°

Therefore:

77° + 60° + a = 180°

a = 180° - 77° - 60°

Hence, option B is the answer.

THE AMOUNT RECIEVE BY JOY IF SHE WORKED m HOURS AT PHP300 PER HOUR?​

Answers

Step-by-step explanation:

THE AMOUNT RECIEVE BY JOY IF SHE WORKED m HOURS AT PHP300 PER HOUR?

hi please mark me as brilliant

Choose the function whose graph is a parabola.

y = |x + 9|
y = 3\sqrt{x}
y = x 2 - 10
y = -2x

Answers

Answer:

y=x2 -10

Step-by-step explanation:

it is because x is squared

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