For which value of theta is sine theta = negative 1?

A unit circle is shown. A radius with length 1 forms angle theta in the first quadrant.
StartFraction pi Over 2 EndFraction
Pi
StartFraction 3 pi Over 2 EndFraction
2 pi

Answers

Answer 1

Answer:

1) 270 degrees

2)  pi/4 rad

Step-by-step explanation:

1.) For which value of theta is sine theta = negative 1?

Given

sintheta = -1

theta = arcsin(-1)

theta = -90degrees

Since sin is negative in the third and 4th quadrant

In the third quadrant, theta = 180 + 90 = 270degrees

In the fourth quadrant, theta = 360 - 90 = 270 degrees

Hence the required value of theta is 270degrees

2) Given the radius of the circle to be 1, the y axis value will also be 1 units

Opposite = 1

adjacent = 1

hyp = √1²+1²

hyp = √2

sin theta = opp/hyp

sin theta = 1/√2

theta = arccsin(1/√2)

theta = 45 degrees

Express in radians

45 degrees = pi/4 radians

Hence the required angle in the first quadrant is pi/4 rad

Answer 2

Answer:

3pi/2

Step-by-step explanation:

that is only one that makes sine negative. others make it 0 or positive


Related Questions

What inequality represents the solution to
1.5x + 4.5 < 2.75x – 5.5?

Answers

Answer:

Step-by-step explanation:

1.5x + 4.5 < 2.75x – 5.5

10 < 1.25x

8 < x

What is the volume of a prism with the hieght 8, base 4 and length 2?

Answers

volume = base x height x length
= 4 x 8 x 2
= 64(whatever unit)^3(cubed)

Benny bought 4 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 24 cards left.
How many cards did Benny start with?

Answers

Answer:

44

Step-by-step explanation:

24x2

48-4= 44

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Answers

Answer:

i'd say D

Step-by-step explanation:

when i solve the first equation I get 2

when I solve the second equation I get 6

so 6-2=4

ashley had 0.954 of flour left how much
flour did she use

Answers

Answer:

Below.

Step-by-step explanation:

She used 1 - 0.954

= 0.046 of the flour.

9(5x + 1) ÷ 3y From the expression above, provide an example of each of the following: sum, term, product, factor, quotient, and coefficient. If any are not present, write "not present." (6 points)

Answers

5+1=6x9=54/3=18 use pemdas to solve it

The parts of the expression, 9(5x + 1) ÷ 3y, are:

Sum: 5x + 1Term: 3yProduct: 9(5x + 1)Factor: 9Quotient: 9(5x + 1) ÷ 3yCoefficient: 3

There are several parts that make up an expression.

All or some of these parts must be present in an expression.

In an expression,

Sum is represented with the addition (+) signProducts are represented by brackets or the multiplication (*) signQuotients are represented by the division signCoefficients are written before the variablesFactors are written before the brackets

Using the above definition, we have the following representations

Sum: 5x + 1Term: 3yProduct: 9(5x + 1)Factor: 9Quotient: 9(5x + 1) ÷ 3yCoefficient: 3

Read more about expressions at:

https://brainly.com/question/8878417


helpppp please will give brainliest!!

Answers

All I can say is that the slope is 1/5

Answer:

Same thing as my last answer, but with a different graph.

Step-by-step explanation:

You know a point. X = 10 and y=40

by this definition you can without the hassle, know to divide both values by 10 to get the lowest numbers possible. y= 4x

using that, data of the slope, try and answer the question (follow my guides from last time ;) )

Hope This Helps :)

The ratio of the measures of 3 angles in a triangle is 8:10:12. Find the
measure of the angles.

Answers

Answer:

A teacher made a copy of a map. To make the map easier to see, the teacher enlarged the area of the map by 38%. Let d represent the area of the original map. The expression d + 0.38d is one way to represent the area of the new map. Write two expressions that represent the area of the new map.​

Step-by-step explanation:

A sport store pays its wholesaler $40 for a baseball bat, and then sells it to a customer for $76. What is the markup rate?​

Answers

Answer:

Markup 90%

Step-by-step explanation:

If $40 is  100% of the price

  then

$76 is  ..........x

Cross multiplication

40(x)  =  76(100)

40x  = 7600

Divide by 100

x = 190

190%  = 100% + 90%

That  means that the price  is the whole price(100%) plus 90%

so the markup is 90%

  ANOTHER WAY:

The difference in prices is $76-$40=$36. So, we need to find what percentage of 40 is 36.

We do this by dividing: 36/40=0.9, which is 90%. So, the markup is 90%.

Simplify using the distributive property:
6(y-8) =
Oy - 48
O by - 48
O by - 8
6y + 48

Answers

6(y-8)=6*y-6*8=6y-48

write a function in terms of t that represents the situation. A stock valued at $100 decreases in value by 9.5 % each year.

y =

Answers

Y=100^0.095t. Hope thats right.

Exponential decay function describes the process of reducing an amount by constant percentage rate over a period of time.. Thus the function in terms of t that represents the given situation is,

[tex]y=100(-8.5)^t[/tex]

Given information-

The value of the stock is $100.

The value of stock decreases by 9.5% each year.

Exponential decay function-

Exponential decay function describes the process of reducing an amount by constant percentage rate over a period of time.

The initial value of the stock was $100 and the decay rate is 9.5 percent per year.

The exponential decay function can be given as,

[tex]y=a(1-r)^t[/tex]

Here [tex]a[/tex] is the initial value, r is the decay rate and t is the number of time interval.

Put the values,

[tex]y=100(1-9.5)^t[/tex]

[tex]y=100(-8.5)^t[/tex]

Thus the function in terms of t that represents the given situation is,

[tex]y=100(-8.5)^t[/tex]

Learn more about the exponential decay function here;

https://brainly.com/question/4119784

how do we add fractions

Answers

find the common denominator between the two fractions and change the numerator

Answer:

you have to find a common denominator and then add.

Step-by-step explanation:

for example 2/4 + 4/12

you find the common denominator in this case it would be i will use 4 so 2/4 would stay the same and 4/12 would change to 1/3

*make sure to do the same thing to the numerator to so if you are dividing your denominator by 2 also do the numerator

now you have to add

2/4 + 4/12 = 6/12 (the denominator stays the same)

6/12 can be simplified (if you are asked to simplify) so it is 1/6

Jeremy is digging a hole. The bottom of the hole is – 2.8 ft from the top of the
hole. Sanjay is on a deck that is 12.3 ft above top of the hole. How many feet apart
are Sanjay and the bottom of the hole? Record your answer on the grid. Then fill in
the bubbles.

Answers

10 ft apart
Not sure

Good luck!!!!!!!!!!

PLEASE HELPPP
Which is a set of collinear points?

Two lines intersect at point H. One line goes through points L and J. The other line goes through points G, I, and K.
A. G, H, I
B. L, H, I
C. G, H, J
D. G, I, J

Answers

Answer:

A g, h, i

Step-by-step explanation

A set of collinear points all lie on the same line

Answer:

sf

Step-by-step explanation:

sf

Solve for x in the diagram below.
Help asap pls!!

Answers

Answer:

x=50

Step-by-step explanation:

50+2x=150

2x=100

x=50

Give brillanst please!!!!

x=50, hope this helps

A) 5t - 6= 3 - 41

Me ajuda!!!! Por favor

Answers

Answer:

t= -32/5

Step-by-step explanation:

1. Simplify 3-41= -38 5t-6 = -38

2. Add 6 to both sides 5t= -38+6

3. Simplify -38+6=-32  5t= -32

4.  Divide both sides by 5 and it should give you t = − 32/5

If you want to check your answer 1. 5t-6 = 3-41 let t = -32/5 5× -32/5 -6 = 3-41

2. Cancel 5 -32 -6 = 3-41

3. Simplify -32-6= -38 -38= 3-41

4. Simplify 3-41= -38

-38=-38 and that how you check your answer to see it was right.

​  

Find the value of x.

Answers

Answer:

50

Step-by-step explanation:

The upper left hand arc is also 130

The lower right hand arc is also x

A circle all the way around from some starting point is 360 degrees.

x + x + 130 + 130 = 360            Equation. Combine like terms.

2x + 260 = 360                         Subtract 260 from both sides

2x = 360 - 260                    

2x = 100                                    Divide by 2

x = 100/2

x = 50

need help on this question

Answers

Answer:

2⁴/4² = 1

2 × 3¹ = 6

(4-2)² = 4

Answer:

1. Correct

2. Correct again

3. 4

Step-by-step explanation:

The first one is correct If you need an explanation let me know.

Second one is the same

For the third one since 4-2 is in () you would have to do it first

4-2= 2

Then you will have to do it to the 2nd power which would mean...

2 x 2= 4

So 4 would be your answer.

Hope this helps :)

Kayl wants to find the radio wave length of his favorite radio station. The formula to use is A=c/f.

A=wave length
C=speed of light
F=frequency

If c=3×10^8m/sec (the speed of light) and f=1.007×10^8 Hz (his radio station is 100.7 KISS), what is the wave length of his radio station?

A=2.979m
B=2.993m
C=2.979 × 10^8m
D=2.993 × 10^8m

Answers

Answer:

C

Step-by-step explanation:

2.979×10^8m

done enjoy


5
An atom silicon is approximately 0.00000000067 Imeters wide. How do you express that number in scientific notation?
A 6.7 x 1010
meters
B 67 x 10-10
meters
© 6.7 x 10-10 meters
11
D 6.7 x 10
meters

Answers

A hhhhhhhhhhnjjjjnnnnnjjkkk

A data set has these values: 7,9,9, 11, 11, 11, 11, 13, 13, 15. A histogram of
the distribution is shown.
4
Which statement does not describe the data set?
3
Frequency
2
A. It has a range of 16.
B. It has a median of 11.
0
6 8 10 12 14 16
c. It has a mode of 11.
O
D. It is symmetric.

Answers

Answer:

Step-by-step explanation:

c

Answer: It has a range of 16

Step-by-step explanation:

I just took it

Admission to the fair is $15 each ride cost $3 micah spent a total of $36 he spent all of his money on rides and admission

Answers

Answer:

7

Step-by-step explanation:

Admission cost = $15

Cost per ride = $3

Total amount spent = $36

We can obtain the number of rides thus :

Let number of rides = x

Admission cost + (cost per ride * number of rides) = total amount spent

15 + 3x = 36

3x = 36 - 15

3x = 21

x = 21 / 3

x = 7

Number of rides = 7

2 of 7 A shop has a sale of 5% off all items in stock. If the original price of a dress is £80 what would be its sale price?

Answers

Answer:

the sale price is £76

Step-by-step explanation:

The computation of the sale price is shown below:

= Original price - original price × off percentage

=  £80  - £80  × 5%

= £80   - £4

= £76

Hence, the sale price is £76

Natalie paid $3.84 in sales tax on an item that cost $44.00 before tax. At that rate, how much would she pay in sales tax for an item that costs $67.00 before tax?

Answers

Answer:

$70.84

Step-by-step explanation:

WILL GIVE BRAINLIEST

All of the following are possible ways to write the expression "n - 3" as a phrase EXCEPT:

1. n minus 3
2. n subtracted from 3
3. 3 fewer than n
4. n decreased by 3

Answers

Answer: 2. N subtracted from 3
Explanation: that suggests that n is being taken from 3 when 3 is being taken from n

Answer:

#2 is the answer

Step-by-step explanation:

it is basically saying 3-n but its n-3 so its #2

Andy wants to rent a limo to go to prom, but wants to split the cost with some friends. The limo costs $400 to rent

Answers

Answer:

its would prob be 100 / 4

Step-by-step explanation:

What is the name of the persons(nobles) who help the taino chief

pls help me I will give brainliest

Answers

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer....

Cacique comes from the Taíno word kassiquan, meaning "to keep house". In 1555 the word entered the English language as "prince". In Taíno culture, the cacique rank was hereditary and sometimes established through democratic means.

hope it helps you,

Mark me as the brainliest....

Follow me!

Please Help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

26:26

Step-by-step explanation:

I hope I've helped :)

What’s the first step in solving this equation?

2x+10=-8

Answers

Answer:

Pulling out the like terms

Step-by-step explanation:

need help!! don't know what I'm doing

Answers

I got 19657 because you would do
2x10000 - 343
20000 - 343
=19657
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