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]
3 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:
defon3 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
Ralph buys a desk that regularly sells for $250 and a desk chair that regularly sells for $145. both items are on sale at 15% of
Lunna [17]
C) (0.85 + x/100)(250+145) does not give the correct answer.

Explanation
A) works; adding the two costs together is 250+145=395.  We multiply this by 0.85 because 100%-15%=85%=0.85.  We also have x% tax, which is represented by x/100, added to 100% of the value, or 1.00.  Altogether this gives us 
395(0.85)(1+x/100) = 395(0.85 + (0.85x/100)) = 395(0.85) + 395(0.85x/100)
= 395(0.85) + 395(0.0085x)
B) works; we have 250+145 for the original price; we have 85% = 0.85 of the value; we also have 100% + x%, which is (100+x)/100.
C) does not work; (0.85+x/100)(395) does not take into consideration that you are finding the tax after taking the 85%.  This will simplify out to
0.85*395 + (x/100)(395) = 335.75 + 395x/100 = 335.75 + 3.95x, which is too much.
D) works; simplifying the expression from A, we have 395(0.85) + 395(0.0085x) = 335.75 + 3.3575x.
6 0
3 years ago
Given the function f(x) = x - 10, what is the corresponding value when x = -12? *
Dahasolnce [82]

Answer:

-22

Step-by-step explanation:

-12 - 10 = -22

4 0
2 years ago
What is the slope of the line that passes through points (6, 7) and (4, 2)?
Maslowich

The slope is 2.5!

y=2.5x-8

Hope this helps!

8 0
3 years ago
Multiply 1 1/3 * 1 3/4
Dennis_Churaev [7]

Answer:77/12

Step-by-step explanation:

Calculate the product

8 0
3 years ago
Mr. Jackson orders lunches to be delivered to his workplace for himself and some
svetlana [45]

Answer: $34.75

Step-by-step explanation:

n= 6.25x+3.50

n=6.25(5)+3.50

n=31.25+3.50

n=34.75

4 0
3 years ago
Other questions:
  • Of 500 dogs at a dog show, 30% are male. 2/5 of the male dogs are over the age of 3. How many dogs are male and over 3 years?
    6·2 answers
  • 9. Which of the following is TRUE? ( 5 points) a. For a data set with mean = 25 pounds and Standard Deviation = 2 pounds then 95
    8·1 answer
  • If x = 5 and y = 7, evaluate the following expression:<br> 100 – 3(3y - 4x)
    8·2 answers
  • Which number is a solution of the inequality? 10.6 &lt; b
    8·1 answer
  • shen has ridden 4 miles of a bike course. the course is 40 miles long. what percentage of the course has shen ridden so far?
    8·1 answer
  • Karen's penny bank is
    12·1 answer
  • I really need help:(​
    5·1 answer
  • 12:11<br> 10:06<br> What time was 14 hours 58 minutes<br> ago?
    7·1 answer
  • What is -3\4 + (-3\8)
    10·1 answer
  • A triangle is shown. The table names different transformations that can be applied to the triangle.
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!