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
alex41 [277]
1 year ago
9

sketch a unit circle with angle instandard positionquestions:a. For what values of 0 is the sine increasing? Decreasing?b. For w

hat values of 0 is the cosine increasing? Decreasing?c.For which angle between 0° and 360° is sine equal to 0? Where is cosine equal to 0?
Mathematics
1 answer:
liq [111]1 year ago
4 0

We can draw a unit circle as:

The sine is the vertical leg (or vertical projection) of the triangle formed by the angle.

The cosine will be the horizontal leg (or horizontal projection) of this same triangle.

The hypotenuse of this triangle will be the radius if the unit circle (r = 1).

a) The sine will be increasing from θ = 0° until it reaches its maximum at 90°.

Then it will be decreasing for angles between 90° and 270°.

Between 270° and 0° it will be increasing again.

b) The cosine has a maximum value for an angle of 0°.

It will decrease until 180°.

Then it will be increasing from angles between 180° and 360°.

c) We can see in the unit circle that the sine is 0 when the angle is one the horizontal axis, like when θ = 0° or θ = 180°.

The cosine will be equal to 0 when the angle is vertical: θ = 90° and θ = 270°.

Answer:

a) Increasing: (0°, 90°) and (270°, 360°)

Decreasing: (90°, 270°)

b) Increasing: (180°, 360°)

Decreasing: (0°,180°).

c) Sin(θ) = 0 for θ = 0° and θ = 180°

Cos(θ) = 0 for θ = 90° and θ = 270°

You might be interested in
In a mathematics test given to 15 students, the following marks (out of 100) se recorded. Find the mean 41,39,48,52,46,62,54,40,
fgiga [73]

Answer:

54.8

Step-by-step explanation:

41+39+48+52+46+62+54+40+96+52+98+40+42+52+60 = 822

822/15= 54.8

Please mark this as Brainliest if it helped you

8 0
2 years ago
Read 2 more answers
8. In order to qualify for the year-end tennis tournament,
Vikentia [17]

Answer:

D

Step-by-step explanation:

3 0
3 years ago
1. If the increase in time causes a corresponding decrease in the price of a product. Identify the proportionality.
Maksim231197 [3]
Context...


Explation;
8 0
2 years ago
Find f(-1) if f(x) = -2x^2 -x
kykrilka [37]

I hope it was helpful to you

if u like follow me

3 0
2 years ago
How many radians is 288 degrees?
Oksi-84 [34.3K]

Answer:

5.02655

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • Twenty-four is less than five-eighths of a number x
    15·1 answer
  • 8265/28500 as a percent
    15·1 answer
  • Two times a number plus four is 22. What is the number
    5·2 answers
  • What are the zeros of x(x + 2)(x - 7)
    10·1 answer
  • Plz help it would really help me a lot
    14·1 answer
  • Please helpppppp, i'm stuck
    14·2 answers
  • I really need help on this one
    9·1 answer
  • What's the answer for number 7?
    10·2 answers
  • Given the information below, write the equation in Standard Form.
    7·1 answer
  • Look at the photo to see the question ​
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!