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

Find the value of x. Round to the nearest degree as needed.

Answers

9514 1404 393

Answer:

  x° = 29°

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relevant trig relationships. Here, you have the hypotenuse and the side opposite the unknown angle. So, the appropriate relation is ...

  Sin = Opposite/Hypotenuse

  sin(x°) = 12/25

  x° = arcsin(12/25) ≈ 28.69°

The value of x is about 29.

1/2 (24) (7)
answer the question quick​

Answers

Answer:

84 is your answer

Step-by-step explanation:

please mark me the brainlist

Answer:

84

Step-by-step explanation:

[tex]\frac{1}{2}*24*7 =[/tex] 12 * 7 = 84

help me with this too please

Answers

Answer:

this is a test but its he second one :D

Step-by-step explanation:

The point (-6, 4) lies on a straight line that has a gradient of -2. What is the
equation of this line?

Answers

Given:

Point on straight line = (-6,4)

Gradient = -2

To find:

The equation of the line.

Solution:

Point-slope form: If a line passes through the point [tex](x_1,y_1)[/tex] with slope m, then the equation of the line is

[tex]y-y_1=m(x-x_1)[/tex]

The line passes through the point (-6,4) with slope -2. So, the equation of the line is:

[tex]y-4=-2(x-(-6))[/tex]

[tex]y-4=-2(x+6)[/tex]

[tex]y-4=-2x-12[/tex]

Adding 4 on both sides, we get

[tex]y-4+4=-2x-12+4[/tex]

[tex]y=-2x-8[/tex]

Therefore, the equation of the line is [tex]y=-2x-8[/tex].

A store has a 20% off sale on pants. The price of the pants before the discount was $48.

What was the sale price of the pants?

Answers

Answer:

$38.40

Step-by-step explanation:

20% of $48 is 9.60

48- 9.60= 38.40

Answer:

$38.40

Step-by-step explanation:

1. convert the percentage into a decimal by dividing x/100.

         20/100 =  0.2

2. multiply by the original price.

         0.2 * 48 = 9.6

3. subtract the discount.

         $48 - $9.60 = $38.40

A recipe calls for 3/4 cup of brown sugar for every 3 eggs. What is the unit rate of eggs per cup?

Answers

Answer:

4 eggs per cup

Step-by-step explanation:

How do you simplify sqrt 96 *

Answers

Answer:

4 times the square root of 6 (4[tex]\sqrt{6}[/tex] )

Step-by-step explanation:

Use a factor tree

Please help

..............

Answers

Answer:

2[tex]\pi[/tex]

Step-by-step explanation:

[tex]\frac{1}{6}[/tex]×2×6[tex]\pi[/tex]=2[tex]\pi[/tex]

Cine ma poate ajuta?

Answers

Answer:

u think its A if not sorry

Step-by-step explanation:

18. Write an expression to represent the perimeter of the figure below.

Answers

2(x+4)+2(2x-8)
2x+8+4x-16
=6x-8

3) In Carter's math class, 20\% of students earned an A on a test. If there were 30 student in the class, how many did not get an A.

Answers

Answer:

24 students did NOT get an A

Step-by-step explanation:

30x.20=6

30-6=24

6(1 - 6x) < 38 - 4x
What is the answer to this equation.

Answers

Answer:

x>-1

Step-by-step explanation:

Answer:

x > -1

Step-by-step explanation:

-3( -5 + 9z) Combine Like Terms Using the Distributive Property

Answers

Answer:

multipy -3to the equation given in brackets

someone please help me

Answers

Answer:

Option B  (2 in the blank)

Step-by-step explanation:

Given function:

f(x) = 2x² - 5x + 7

The leading term is 2x², the leading coefficient is 2, this is positive.

The graph opens upward.

Correct option is B.

False, because 2 > 0

Option B is correct trust me my guy

What is the measure?

Answers

Answer:

70-45

Step-by-step explanation:

becauae w= 70-45 and w+45=70

Which method would be the best to solve the following system of equations?

Answers

Answer:

Graphing the equations and seeing where they intersect.  Use DEMOS Graphing Calculator off of the internet.  It works great.  I even use it to check my work when I use algebra

This method also works well with quadratics and lines

Step-by-step explanation:

What is the solution to the equation below? Log subcript 6 4x^2 - log subcript 6 x=2

1. 1/12
2. 3/2
3. 3
4. 9

Answers

Answer:

Using the logarithmic Function

the answer is 3/2

I need help ASAP PLEASEEEEEEEE

Answers

Answer:

g has an average rate of change of zero at the intervals [-5,4] and [-2,2]

Step-by-step explanation:

When we talk of the average rate of change, we mean the change in y values divided by the change in x values

Once the change in y-values is zero, then over that interval, the average rate of change is zero

at the point t =- 5, g(t) = 6; at the point t = 4, g(t) = 6

As we can see here, within the interval [-5,4]; the average rate of change is 0

This same pattern is repetitive at points or ranges where we have same values for g(t)

such as;

[-2,2]

Explain why 4 x 2/5 is the same operation as 2/5 + 2/5 +2/5 + 2/5

Answers

Answer:

Step-by-step explanation: Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(8, 5)=1. In the next intermediate step the fraction result cannot be further simplified by cancelling. In words - four multiplied by two fifths=eight fifths.

Pls i gat no idea :/

Answers

Answer:

Step-by-step explanation:

The equation of a circle is (x-h)^2+(y-k)^2=r^2 where r is the radius of the circle and (h,k) is the coordinates of the center of the circle. We can see that the radius is 3 units and we are given the location of the center as (-3,1) so

(x+3)^2+(y-1)^2=9

Isabella is travelling in Brazil during the summer, She knows that a 15-minute phone call home to her family costs $45.85 and a 20-minute phone call costs $58.30 sabella only has $55.81 to spend on her phone call. How long can she talk to her family?​

Answers

19 minutes ..
Divides 45.85 by 15 you will get 3 same for the other cost- the divide 3 by 55.81 and you get 19


Calculate an
8% tax on an
$80 tablet.

Answers

$6.40 is 8% of 80 mark brainliest please

Answer:

$6.40

Step-by-step explanation:

All you have to do is find 8% of 80 dollars. That means you do 8/100x80/1 which is equal to 32/5. Simplify this improper fraction to get $6.40. This means that 8% of 80 is $6.40.

Martin is buying inkjet cartridges that cost 22$ each.he has 100$ to pay for the cartridges.

Which number line shows the number of cartridges he can buy?

Answers

Answer:

4.45 or 4 so b

Step-by-step explanation:

Answer:

Its C hope this helps

Step-by-step explanation:

It’s due tonight!! I HAVE TO FIND “r” AS WELL! I NEED HELP

Answers

I found R he was hiding in my backyard
Is r suppose to be the number of how many cookies she has?

Find the value of JK

Answers

Answer:

10t = 7t + 15

3t = 15

t = 5

JK = 50

JK = 50 because 3T = 15, so T = 5 and 10T = 50

Tickets to the school play cost $9 for adults and $5 for students. The Wilson family bought 3 adult tickets and 4 student tickets. Which expression matches the situation?

A. 9(3) + 5(4)
B. 3(5) + 9(4)
C. (5+9) + (3+4)
D. 47

Answers

A

Because of 3 adults bought 3 tickets, 9 x 3. 9(3)

4 students bought 4 tickets, 4 x 5, 4(3)

What’s the side length?

Answers

Answer:

11.18

Step-by-step explanation:

Pythagorean Theorem:

a² + b² = c²

The hypotenuse is c.

10² + b² = 15²

Square 10 = 100

Square 15 = 225

100 + b² = 225

225 - 100 = 125

Find the Square Root of 125.

11.18033989 or 11.18

Joshua unfolded a cardboard box. The figure of the unfolded box is shown below:


Which calculation will give the total surface area of the cardboard, in square inches, that was used to make the box? (1 point)

Question 14 options:

1)

6 × 3 × 3

2)

3 × 6 × 6

3)

9 × 6 × 6

4)

6 × 9 × 9

Answers

Answer:

1) 6 * 3 * 3

Step-by-step explanation:

Assuming the box is a cube, the surface area would be 6 times one side's area (since in a cube each side is a square) or A=6s^2 where s is a side length of the cube. This means that the surface area is 6*3*3=6*9=54 in^2

5x-y<-6 and 3x-y>/4

Due tonight!!!

Answers

Answer:

1.

x<1/5y + -6/5

2.

x>1/3y + 4/3

help please! ill mark brainliest

Answers

Answer:

90deg

Step-by-step explanation:

If the angles are supplementary, that means mA + mB = 180*

we know that

mA = (2x + 8)deg

mB = (2x + 8)deg = mA

mA + mB = 180deg

mB + mB = 2mB = 180deg

mB = 90deg

Note, that we did not need to compute x even, because the angles were the same.

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