1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Marizza181 [45]
3 years ago
7

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

Mathematics
2 answers:
rosijanka [135]3 years ago
6 0

Answer:

3pi/2

Step-by-step explanation:

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

Ivan3 years ago
4 0

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

You might be interested in
If y = 4x – 1, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?
Helga [31]
Hello!

To do this you will pick an x value, multiply it by the slope and add the y- intercept. Let's try 0.

y=4(0)-1
y=-1

So here, an ordered pair could be (0,-1)

We can try this again for different x-values.

y=4(1)-1
y=3

This gives us the ordered pair  (1,3)

y=4(100)-1
y=399

This would give us the ordered pair (100,399)

I hope this helps!
6 0
3 years ago
Here is the region of integration of the integral Integral from negative 6 to 6 Integral from x squared to 36 Integral from 0 to
Soloha48 [4]

Answer:

a) ∫_{-6}^{6} ∫_{0}^{36} ∫_{x²}^{36} (-y) dy dz dx

b)  ∫_{0}^{36} ∫_{-6}^{6} ∫_{x²}^{36} (-y) dy dx dz

c)  ∫_{0}^{36} ∫_{x²}^{36} ∫_{-6}^{6} (-y) dx dy dz

e) ∫_{x²}^{36} ∫_{-6}^{6} ∫_{0}^{36} (-y) dz dx dy

Step-by-step explanation:

We write the equivalent integrals for given integral,

we get:

a) ∫_{-6}^{6} ∫_{0}^{36} ∫_{x²}^{36} (-y) dy dz dx

b)  ∫_{0}^{36} ∫_{-6}^{6} ∫_{x²}^{36} (-y) dy dx dz

c)  ∫_{0}^{36} ∫_{x²}^{36} ∫_{-6}^{6} (-y) dx dy dz

e) ∫_{x²}^{36} ∫_{-6}^{6} ∫_{0}^{36} (-y) dz dx dy

We changed places of integration, and changed boundaries for certain integrals.

3 0
3 years ago
The equation of a straight line is y+10=5x
MariettaO [177]

Answer:

y=5x-10

Step-by-step explanation:

y+10=5x

y=5x-10

4 0
4 years ago
Nine less than five times a number is equal to -30.
notka56 [123]

Answer: 5x-30-9

-159

Step-by-step explanation:

-159 is the answer

6 0
3 years ago
Sales tax in Harris County is 7%. If the sales tax on a new car was $1400, what was the selling price of the car?
Dahasolnce [82]

Answer:

Bill of sale is not itemized or no sales tax has been paid to the state where the vehicle was purchased Sales tax is calculated using the following formula: (Vehicle Price – Trade in Value) x 6.25.

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • What is the reason for each step in the solution of an equation? 4x-1= -2 (x+1)
    11·1 answer
  • Rewrite the equation so that it does not have fractions. 3/4x-4=5/6 Also can you reply asap and help me with other problems?
    14·1 answer
  • the ratio of width to length of Baileys television screen is 3:4. what is the width of the screen if the length is 32 inches?
    7·2 answers
  • Princeton caught 42 fish this summer, which is 70% of the number of fish his friend Trenton caught. How many fish did Trenton ca
    9·1 answer
  • Find the value of x in each case:
    14·1 answer
  • True or false ?<br> The ancient Greeks could bisect an angle using only a straightedge.
    10·2 answers
  • A heron can travel an average of 400 km in 10h. What is the rate of change of distance?
    15·2 answers
  • It said it was wrong
    15·1 answer
  • Solve this equation -3/4x + 6 &gt; -3=
    13·1 answer
  • QUICK <br>is -1 1/2 a rational number?​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!