If cosine theta = -2/5 and tangent theta > 0, what is the value of sine theta?

Answers

Answer 1

[tex]\text{Given that,}\\\\\cos \theta = -\dfrac 25 \\\\\implies \cos^2 \theta = \dfrac 4{25}\\\\\\\implies 1- \sin^2 \theta = \dfrac{4}{25}\\\\\\\implies \sin^2 \theta = 1-\dfrac{4}{25}\\\\\\\implies \sin^2 \theta =\dfrac{21}{25}\\\\\\\implies \sin \theta = \pm \sqrt{\dfrac {21}{25}} = \pm \dfrac{\sqrt{21}} 5\\\\\text{Since}~ \tan \theta>0,~ ~\text{the value of} ~\sin \theta ~\text{wii be:} \\\\\sin \theta = -\dfrac{\sqrt{21}}5[/tex]


Related Questions


Please help me solve this problem

Answers

Answer:

15

Step-by-step explanation:

Solve this system of equations using the Substitution Method. Don't forget to write your final answer as a coordinate point. You must show all your work.

3x + y = -2
y = 2x + 3

Answers

Step-by-step explanation:

substitute the value of y

3x+2x+3=-2 (collect like term)

5x=-2-3 (calculate the difference)

5x=-5 (both side over 5)

x=-1

i hop it helps you❤

1 point
#8. What is the slope of a graph that passes through (5,5) and (5, -7)? *
0
-12
- 12/0
Undefined
12

Answers

Answer:

The answer is undefined

Because it passes through x

if f(x)=4x + 3 find f^-1(x)

Answers

Answer:

f^-1(x) = (x-3)/4

Step-by-step explanation:

The notation f^-1(x) means that you are finding the inverse of the function f(x). To do this, you'll want to swap the "x" and the "y" in the original function, and then solve for y. Here's how:

First, we take the original function and swap the two variables:

y = 4x + 3

x = 4y + 3

Then we subtract 3 from both sides

x - 3 = 4y

Then to get y on its own, we divide both sides by 4.

y = (x-3)/4

Make sure to note that the whole expression x-3 is divided by 4, not just one part of it.

So your new inverse equation is:

f^-1(x) = (x-3)/4

Answer:

y = (1/4)(x - 3) is the desired inverse function of f(x) = 4x + 3.

Step-by-step explanation:

Here we're finding the 'inverse function' of the given f(x) = 4x + 3.  Follow these steps:

1.  Replace the label  f(x)  with y:  y = 4x + 3

2.  Interchange x and y:  x = 4y + 3

3.  Solve this new equation for y:  4y = x - 3, or y = (1/4)(x - 3

Can somebody please help me

Answers

Answer:

b is 62 a is 118 c is 59 I have to get 20 characters

If my friend answers this question under 5 seconds he's a god

Answers

x = 9

Scale size is 3 so multiply all terms in ABC by 3.

Find the quotient of 1/6 and 2/9

Answers

Answer:

3/4 or 0.75

Step-by-step explanation:

When dividing- quotient- fractions, remember keep, change, flip

Keep- keep the first fraction

Change- change the division sign into a multiplication sign

Flip- flip the second fraction

So your problem really is:

[tex]\frac{1}{6} *\frac{9}{2}[/tex]

Which is: 9/12 or 3/4

The answer is 3/4
You multiply by the reciprocal Then reduce the numbers then you multiply

A microscope shows an image of an object that is 40 times the object's actual size. So, the
scale factor of the enlargement is 40. An insect has a body length of 4 millimeters. What is the
body length of the insect under the microscope?

160 centimeters

16 millimeters

1,600 millimeters

160 millimeters

Answers

Answer:

I don't know I wanna say the 3rd one

Step-by-step explanation:

Which value of k makes 5-k + 12 = 16 a true statement? Choose 1 answer. А k = 1 B k = 2 k = 3 k=4
PLEASE HELP ME AND SAVE MY LIFEE
ILYYY​

Answers

Answer:

option A

K = 1

is the answer.

hope it helps

A. Would be the answer

If and , find .

A.

B.

C.

D.

Answers

Answer: GOONNA BE BE SIRRRRR BTW I HAVE IPHONE 21345678

Step-by-step explanation:

Which values from the set negative 6, negative 4, negative 3, negative 1, zero, 2, satisfy this inequality?





Negative one half x, plus 3, is greater than or equal to 5.

Answers

Answer:

- 6

Step-by-step explanation:

- [tex]\frac{1}{2}[/tex] x + 3 ≥ 5 ( subtract 3 from both sides )

- [tex]\frac{1}{2}[/tex] x ≥ 2 ( multiply both sides by  2 to clear the fraction )

- x ≥ 4

Multiply both sides by - 1, reversing the symbol as a result of multiplying by a negative quantity.

x ≤ - 4

The only value from the set which satisfies the inequality is

x = - 6

2 decreased by the sum of m and 8

Answers

Answer:

(m+8) - 2

Step-by-step explanation:

What are objects that are 1 kg

Answers

Answer:

One liter of water.

A Pineapple.

A Bunch of Bananas.

A 1 liter bottle of water

PLEAAAAASSEEEEEEEEEEE
im held captive._.

Answers

The inequality that models the situation is:

[tex]15000 + 4s \geq 450000[/tex]

Solving it, it is found that they need to sell at least 108,750 shirts.

During the day:

They earned 15000 in mask sales.They will sell s shirts, and earn a total of of 4s.

Hence, the earnings are:

[tex]T = 15000 + 4s[/tex]

They want to earn at least 450,000, hence:

[tex]T \geq 450000[/tex]

[tex]15000 + 4s \geq 450000[/tex]

Solving it:

[tex]15000 + 4s \geq 450000[/tex]

[tex]4s \geq 435000[/tex]

[tex]s \geq \frac{435000}{4}[/tex]

[tex]s \geq 108750[/tex]

They need to sell at least 108,750 shirts.

A similar problem is given at https://brainly.com/question/24514895

What happens in the inequality when we multiply or divide by a negative number?

Answers

Answer:

The inequality flips.

It can go from

> to <

and vice versa


The equation A = 1/2bh (one halve) gives the area A of a triangle, where b is the length
of the base and h is the height. Solve this equation for h.

Answers

Answer:

h= (2a)/b

Step-by-step explanation:

solved for equation

Brennan studied the relationship shown in the table.

x 3 4 5 6 7
y 36 48 60 72 ?

Which expression describes a method Brennan could use to determine the y-value when x equals 7?

Answers

Answer:

y = 12x

Step-by-step explanation:

Note the relationship

x = 3 : y = 36 , that is 36 = 12 × 3

x = 4 : y = 48, that is 48 = 12 × 4

x = 5 : y = 60 , that is 60 = 12 × 5

x = 6 : y = 72 , that is 72 = 12 × 6

The value of y is obtained by multiplying corresponding x value by 12

Then

x = 7 → y = 12 × 7 = 84

in general for any x

y = 12x

CAN SOMEONE HELP ME PLEASE ASAP!?

Answers

Answer:

1 inch : 50 miles

Step-by-step explanation:

550 miles / 11 inches = 50miles/inch

Every inch on the map represents 50 miles.

550 miles. Explanation First, we know that each 1,4 (quarter) of an inch
equals 50 miles, and we know that four 1.4s
equals one. so, using that information, we have
23/4. so the 2 has 8 quarters, and then we have
3 quarters left. so we add the 8 quarter's and
the 3 quarter's, to get 11. and since each quarter
is equal to 50 miles, we multiply 50 by 11.

help stranger's ( ◜‿◝ )​

Answers

Answer:

what is the question in this picture

How do u solve this

Answers

2 should be the answer


8. A 20 point test was given to two classes. Each class had results shown in the box plots below. Which of the
two classes has the greater interquartile range?

Answers

the first class has the greater interquartile range.

Which situation would use the midpoint formula?

a-Calculate the distance from Trenton to Jackson using a map.
b-Find the slope between two points.
c-Two friends live across town from each other. A park located in the center of town is the same distance from each friend. Find the location of the park when given the location of the each friend's house.
d-Locate the ordered pair (5,-2) on a coordinate plane.

(can chose more than one)

Answers

Answer:

A and C

Hope this helps!!

If I am wrong please tell me I enjoy learning from my mistakes:)

1 5/6 ÷3/4 the first 1 is a mixed fraction so its one five by six

Answers

Answer:the answer is 22/9 or in mixed form would be 2 4/9 but in decimal it’s 2.4 but the 4 is repeated

(Topic: Vectors) - Prove that ADE is a straight line

Answers

Answer:

Because the angle is a 180 degree angle.

Step-by-step explanation:

Answer:

If it looks straight, well then i would guess that it would be straight. You can also put it against a ruler and see if it matches up. if it does not then it is not a line.

Step-by-step explanation:

hope this helps

pls brainliest

A car travels 270 kilometers in 6 hours. How far will it
travel in 9 hours at the same speed?​

Pls pa help po

Answers

Answer:

405

Step-by-step explanation:

divide 270 by 6 the multiply what you got with 9

:)

Tommy bought one dozen donuts. He gave one-sixth of the donuts to his wife. He then gave one-fifth of the remaining donuts to his son. He took the rest to work. How many donuts did Tommy take to work?

Answers

Answer:

8

Step-by-step explanation:

1/6 of 12 is 2

12 - 2 = 10

1/5 of 10 is also 2

10 - 2 = 8

Tommy took 8 donuts to work.

Candi must take 15 ml of Medicine A three times daily, until it is finished. If the bottle of Medicine A contains, 5 L, how many days will she be taking the medication?
Round off your answer to the nearest whole number.​

Answers

Candi would be taken medicine A for 11 days for her to complete the medication.

1 L = 1000 ml

Candi needs to take 15 ml of Medicine A three times daily. Therefore:

Amount of drug taken by Candi daily = 15 ml * 3 times = 45 ml = 0.045 L

Since the bottle contains 5 L, The number of days she needs to take the madication is:

Number of days = 5 L / 0.045 L = 11 days

Candi would be taken medicine A for 11 days for her to complete the medication.

Find out more at: https://brainly.com/question/2077866

which option has the greater slope
A.y=3x+2
B the picture below

I REALLY NEED HELP ON THIS QUESTION I WILL MARK YOU BEAINLIEST!!!!​

Answers

Answer:

A. Y=3x+2

Step-by-step explanation:

Y=mx+c

m - slope coefficient of x

and so you can easily find the slope if you are asked directly like this seen in option A.

the picture has a value of X2=-3 , X1=3 & Y1=3 Y2= 1

m = Y2 - Y1 / X2 - X1 = 1-3/-3-3 = -2/-6 = 1/3.

as you can now see, the slope from the pic which is 1/3 is less than that of option A.


The area of a rectangle is greater than or equal to 42 square centimeters. The width of the rectangle is 6 centimeters and the length is
centimeters. Select the possible value(s) of a.
7

Answers

Answer:

≥7

Step-by-step explanation:

6x7=42

Hope that helps

Answer:

x≥7

Step-by-step explanation:

Please Help

Factor the polynomial: x^3 + 3x - 2x - 6

Answers

Answer:

(x^2-2)(x+3)

Step-by-step explanation:

x^3 + 3x^2 - 2x - 6

x^2(x+3)-2(x+3)

(x^2-2)(x+3)

Other Questions
what the area of a triangle whose base is 23 inches and whose height is 28. write your answer in decimal Select the equation that has a = 112 as its solution. a114=35 a+358=434 416+a=523 a38=214 What caused the end of the Cold War? m is a positive integer and n is a negative integer. Which of these is always positive?(picture posted below)A. Only (i)B. Only (ii)C. Both (i) and (ii)D. Cannot sayS ANSWER ASAP!! ILL MARK U BRAINLIEST!!! The table below shows the number of tadpoles in a pond after a certain number of months.PLEASE HELP at euclid school, there are 14 female teachers and 11 male teachers, what fraction of the teachers are male 6. Michelle got a new job through the McCartney Employment Agency. The job pays $49,400 per year, and the agency fee is equal to 35% of one month's pay. How much must Michelle pay the agency? three benefits attributed to all psychotherapies are: Solve for x plsss I need the answer ASAP plsss When the national debt rises, whodoes it impact?A. only CongressB. only the PresidentC. the general public or populationD. only International Trade What do you do when you have a bad cold. Which of the following reasons was why the Bill of Rights was added to the U.S. Constitution?a. to define a different bill in the Constitutionb. to extend the Bill of Rightsc. to define what rights people will haved. to create a pamphlet of protections for the people pls help pls no links? What are 3 things a ferret could do no one thought it did A company is shipping toysto stores in boxes. Eachbox will hold 16 toys.How many boxes will beneeded to ship 2,944 toys? ____ art is a visual art form that incorporates live action and mixed media and is presented before a live audience. Suppose you start to eat some potato chips from an open bag that you found in your locker and noticed that the chips taste and smelled unpleasant. What process has resulted from the unpleasant chips?. Could there be winds without differential heating? Using evidence from Unit 5 explain what differential heating is and whether this effects the earths global wind patterns. HELPPP PLEASE SITE EVIDENCE (WILL MARK BRAINLIEST)!!!!!!!! Solve for x : 3x - 24 = 81 How did Akhenaten impact Egypt's economy?