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
Alina [70]
3 years ago
15

On an interval of [0, 2π), can the sine and cosine values of a radian measure ever be equal? If so, enter the radian measure(s)

where the values are equal. If not, enter DNE. (Enter your answers as a comma-separated list.)
Mathematics
1 answer:
Lisa [10]3 years ago
6 0

Answer:

Yes, they are equal in the values (in radians):

π/4, 5π/4

If cos(x) and sin(x) are defined to you as nonnegative functions (in terms of lengths), then 3π/4 and 7π/4 are also included

Step-by-step explanation:

Remember that odd multiples of 45° are special angles, with the same sine and cosine values (you can prove this, for example, by considering a right triangle with an angle of 45° and hypotenuse with length 1, and finding the trigonometric ratios).

The radian measure of 45° corresponds to π/4, hence the odd multiples on the interval [0, 2π) are π/4, 3π/4, 5π/4, 7π/4.

If you define sin(x) and cos(x) using the cartesian coordinate system (via unit circle), then cos(3π/4)=-sin(3π/4) and cos(7π/4)=-sin(7π/4). In this case, only π/4 and 5π/4 are valid choices.  

You might be interested in
This is asking “identity whether each of the following is a linear function” please ignore the quality tho. The question numbers
Svetlanka [38]

Answer:

4. Yes 5.No 6. No

Step-by-step explanation:

To be short,a linear equation has a coefficient of only 1 degree.

If the degree is over 1 it isn't a linear equation.

4 is the linear equation since it x value 7x has a degree of 1.

5 isn't becuase it's x value has a degree of 5

6 isn't becuase it degree is 4.

7 0
2 years ago
Sandi buys 2 fewer packages of pencils than p packages of pens. Pencils costs $2.45 per package and pens costs $3 per package. W
Ilya [14]
I think its B Because u have the total of pencils and how much they cost now u need to how know many pins you have to know how many they have in total
3 0
3 years ago
A rectangle has an area of 240 square meters and a width of 15 meters.
fredd [130]
Area is found by taking the length time width or A=lw

240=L x 15    divide both sides by 15

Length = 16 meters

3 0
3 years ago
Find the slope of the line that passes through (2, 8) and (7, 1).
Keith_Richards [23]

Answer:

-7/5

Step-by-step explanation:

We can use the slope formula to find the slope

m = ( y2-y1)/(x2-x1)

    = ( 1-8)/(7-2)

     = -7/5

3 0
3 years ago
Daphne has 3 days to drive 932.4 miles. she wants to have completed about 75% of the drive by the start of day 3.Which of the fo
VMariaS [17]
31.68 the way I got that is I divided three by 932.4 but instead of the decimal I just took it out
3 0
3 years ago
Other questions:
  • Find the original price of a pair of shoes if the sale price is $40 after a %20% discount.
    7·1 answer
  • The _____ is used to measure volume<br> 1) liter<br> 2) gram<br> 3) meter
    6·2 answers
  • What is the range of g(x)?
    12·1 answer
  • Which of the ordered pairs in the form (x, y) is a solution of this equation?
    14·1 answer
  • Solve the following system of equations.<br> – 7x-6v = 15<br> 3x + 5y = -4
    8·1 answer
  • I need help please ????
    15·1 answer
  • The length of a side of a triangle is 26 in. A line, parallel to the given side ,divides the triangle into 2 parts of equal area
    15·2 answers
  • (4x+3 )+ (-2x+4 )expressions
    15·1 answer
  • (*Who give correct answer will get branliest*)The cost price of 20 articles is the same as the selling price of X articles.If th
    13·1 answer
  • Find the surface area of the regular pyramid<br> PLEASE HELP ASAP
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!