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
koban [17]
3 years ago
14

1.)The angle θ lies in Quadrant IV. sinθ=−2/3 What is cosθ?

Mathematics
1 answer:
AveGali [126]3 years ago
4 0

Answer:

1. From sin²θ +cos²θ =1 and sinθ=-2/3, we see that cosθ=√(1-sin²θ) or cosθ=√5/3, where the sign of cosine is positive as it is in Quadrant IV. x lies in 4th quadrant , cos x is +ve. , cos x = √5/3. Answer.

answer : cos x = √5/3

2.  4/3

3.  sin (- theta)  = - sin (x)        so sin x = 1/6

 tan = sin / cos   =  1/6  /  cos  =  - sqrt35/35     solve for cos

                        cos =  1/6 * (-35/sqrt35)

                       

                                  = -35 sqrt35 /210

answer : −35/√210

4. The cosine function is an even function, so cos(θ) = cos(-θ).

The relationship between sin(θ) and cos(θ) is sin(θ) = ±√(1 -cos(θ)^2)

For sin(θ) < 0 and cos(θ) = (√3)/4,  sin(θ) = -√(1 -3/16) = -√(13/16)

sin(θ) = -(√13)/4   For sin(θ) < 0 and cos(0) = √(3/4), ...

sin(θ) = -√(1 -3/4) = -√(1/4)       sin(θ) = -1/2

answer : -13/√4

5.  answer : tan^2 θ ⋅ cos^2 θ = 1 − cos^2 θ would be the first step

You might be interested in
What are the common multiples of 2 3 and 5
LUCKY_DIMON [66]
Los multiplos de 2 es 2,4 ,6,8,10,12,14, etc Del 3: 3,6,9,12,15,18,21,24,27,30,etc Del 5: 5,10,15,20,25,30,35,40,etc
3 0
3 years ago
How is an inversely proportional relationship different from a directly proportional relationship?
Semenov [28]
Directly proportional: as one amount increases, 
<span>another amount increases at the same rate.


</span><span><span>Inversely Proportional</span>: when one value decreases at the same rate that the other increases. </span>
4 0
3 years ago
x= 1, 2, 3, 4, 5. y=11\4, 25\4, 39\4, 53\4, 67\4. what equation relates y to x in the values x and y?
larisa86 [58]
(1,11/4)(2,25/4)
slope = (25/4 - 11/4) / (2 - 1) = (14/4) / 1 = 14/4 = 7/2

y = mx + b
slope(m) = 7/2
(1,11/4)...x = 1 and y = 11/4
now we sub and find b, the y int
11/4 = 7/2(1) + b
11/4 = 7/2 + b
11/4 - 7/2 = b
11/4 - 14/4 = b
-3/4 = b

so ur equation is : y = 7/2x - 3/4
4 0
3 years ago
Who needs free 50 points only two winners hurry up
jolli1 [7]

Answer:

ty I need points your the best

Step-by-step explanation:

.

4 0
3 years ago
Read 2 more answers
Alexa has, 2 nickels, 1 quarter, and 3 pennies. How much money does she have?
UkoKoshka [18]

Answer:

38 cents

Step-by-step explanation:

quarter= 25

nickles= 5

pennies= 1

5+5+25+3= 38

6 0
3 years ago
Read 2 more answers
Other questions:
  • I need help please and correct answer
    10·2 answers
  • I really need help. I don't get this.
    6·2 answers
  • A football team lost 5 yards on each of three plays explain how you could use a number line to find the teams change and in fiel
    11·1 answer
  • Help please I don’t understand
    6·1 answer
  • write the ratio as a fraction in simplest form. with whole numbers in the numerato and denominator. 40g : 64g​
    8·1 answer
  • Calculate the sale price for each item.
    9·2 answers
  • Which value of p is a solution to this inequality: 10p - 8 2 12?
    10·1 answer
  • A machine fills 24-ounce (according to the label) boxes with cereal. The amount deposited
    10·1 answer
  • Suppose x, y and z are integers. Prove that, if 3x−y + 5z is even, then at least one of x, y or z is even.
    11·1 answer
  • Find the missing lengths. If needed, give the answer in simplest radical form.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!