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
zloy xaker [14]
2 years ago
7

The point (1, −1) is on the terminal side of angle θ, in standard position. What are the values of sine, cosine, and tangent of

θ? Make sure to show all work.
Mathematics
1 answer:
defon2 years ago
7 0
The abscissa of the ordered pair, that is the x-coordinate, is equal to 1 and the ordinate, the y-coordinate, is equal to -1. In the cartesian plane, this point lies in the fourth (IV) quadrant. The standard position of the angle is that which has one of its side is in the x-axis.

Solve for the hypotenuse of the right triangle formed.
           h = sqrt((-1)² + (1)²) = √2
Below items show the calculation for each of the trigonometric functions.

 sin θ = opposite/hypotenuse = y/h = (-1)/(√2) = -√2/2
 cos  θ = adjacent/hypotenuse = x/h = (1)/√2 = √2/2
tan θ = opposite/adjacent = y/x = -1/1 = -1
You might be interested in
Which statements correctly describe the cosine and sine functions? Check all that apply.
VMariaS [17]

Answers:

B: <em>The sine function increases on (0°, 90°) and (270°, 360°).</em>

C: <em>The cosine function decreases on (0°, 180°).</em>

E: <em>Both the cosine and sine functions have a maximum value of 1.</em>

F: <em>Both the cosine and sine functions are periodic.</em>

4 0
3 years ago
Which equation exemplifies the Associative property of addition?
Elanso [62]
1) C(2
2) A(-4
3) B(4+(2+1)=4+2)+1
4) D(3(2x4)=(3x2)4
5) A(5+6=6+5
6) C(12x1=1x12
7) D(Exponents
8) A(addition and subtraction
9) A(55
10) B(19
3 0
3 years ago
Read 2 more answers
I really need help ASAP !!
Vesnalui [34]

Answer:

Graph 1: Consistent Dependent

Graph 2: Consistent Independent

Graph 3: Consistent Dependent

Graph 4: Inconsistent

Step-by-step explanation:

Consistent means they have at least one solution.  So lines that intersect once or lines that intersect infinitely many times are both consistent systems.

If they are the system that has one solution they are considered independent.

If they are the system that has infinitely many solutions then are considered dependent.

Inconsistent means they won't intersect at all.

First graph shows the same line graphed onto itself.  That means they have infinitely many solutions and is therefore a consistent dependent system.

Second graph shows the lines intersecting once.  That means they have one solution and therefore is a consistent independent system.

Third graph shows the same description of graph one and is therefore a consistent dependent system.

The last graph shows parallel lines. Parallel lines do not intersect and therefore do not have a solution.  So this system is inconsistent.

7 0
2 years ago
Which equation describes the same line as y- 6 = -4(x + 1)?
just olya [345]

Answer:

B. y=-4x+2

Step-by-step explanation:

y-6=-4x-4

y=-4x-4+6

y=-4x+2

8 0
3 years ago
Read 2 more answers
Solve the following problem. It may be helpful to use draw a chart on scrap paper to organize the information and write the equa
Ne4ueva [31]

Answer:

we can translate the problem into two equations. The first statement is translated to x + y = 10 where x represents the amount of cashews in the mix while  y represents the amount of peanuts in the mixture. In this case, the second equation is translated to 5.60x + 2.30 y = 3.29*10. solving the two equations simultaneously, x is equal to 3 pounds while y is equal to 7 pounds

Step-by-step explanation

5 0
3 years ago
Read 2 more answers
Other questions:
  • What is the medium lower quartile upper quartile and interquartil of the numbers
    9·1 answer
  • Which fraction is equivalent to fraction with numerator 6 and denominator negative 8? fraction with numerator negative 8 and den
    6·2 answers
  • 45% of what distance is 135 miles
    11·2 answers
  • at the cafe, Rebecca can choose to earn $10 per hour plus a $60 starting bonus or earn $12 per hour with no starting bonus. afte
    15·1 answer
  • A National Health Interview Survey conducted by the US Centers for Disease Control reported that using a cell phoneinstead of a
    8·1 answer
  • Substance A decomposes at a rate proportional to the amount of A present. ​a) Write an equation relating A to the amount left of
    9·1 answer
  • Y=12-6x when X=4 how do you solve this??
    10·2 answers
  • A sheet of paper is 8.5 in X 11 inches if you cut 2 in squared from each corner what is the area if the paper
    5·1 answer
  • The Star of Africa, a diamond in the royal scepter of the British crown jewels, has a mass of 530.2 carats, where 1 carat = 0.20
    12·1 answer
  • The diagonal of a monitor that is 5 inches wide and 12 inches
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!