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
allsm [11]
2 years ago
10

If the terminal side of angle θ passes through a point on the unit circle in the first quadrant where x=√2/2, what is the exact

measure of θ?
Mathematics
1 answer:
Serhud [2]2 years ago
3 0

The exact measure of the angle is 45°.

<h3>How to get the angle?</h3>

We know that the terminal side passes through a point of the form (√2/2, y).

Notice that the point is on the unit circle, so its module must be equal to 1, so we can write:

1 = \sqrt{( \frac{\sqrt{2} }{2} )^2 + y^2} \\\\1^2 = \frac{2}{4} + y^2\\1 - 1/2 = y^2\\\\1/\sqrt{2} = y

We know that y is positive because the point is on the first quadrant.

Now, we know that our point is:

(√2/2, 1/√2)

And we can rewrite:

√2/2 = 1/√2

So the point is:

( 1/√2,  1/√2)

Finally, remember that a point (x, y), the angle that represents it is given by:

θ = Atan(y/x).

Then in this case, we have:

θ = Atan(1/√2/1/√2) = Atan(1) = 45°

If you want to learn more about angles, you can read:

brainly.com/question/17972372

You might be interested in
Which of the following does not describe a rigid motion transformation
patriot [66]

Answer:

The answer to this question is dilating the figure by a scale factor of one half.

7 0
3 years ago
A leaky faucet has a drip that produces 1.2 drops per second. How many drops will occur in one day?. Show all steps neatly.Write
NemiM [27]
28.8 drops will occur in one day because if you multiply 1.2 by 24, it will equal 24. I multiplied by 24 because 1 day is 24 hours

hope it helped :3
3 0
3 years ago
Read 2 more answers
Which are the like terms in 2y^3 – 4y^2 + y + y^3?
mash [69]
Like terms are going to have the EXACT same variables....or they can just be constants with no variables.

x^2 and 3x^2 are like terms
x^2 and x^3 are not like terms
8 and 9 are like terms
8x and 9y are not like terms

so ur like terms in ur problem are : 2y^3 and y^3
7 0
3 years ago
Distrubutive property <br> 1. 54+27=9 (_+_)
Anarel [89]

Answer:

9(6+3) = 54+27

Step-by-step explanation:

dunno how to explain but hope the answer helps

3 0
2 years ago
Read 2 more answers
Determine the domain of the function.<br><br> f(x)=4/x^2
harkovskaia [24]
Since x can be any value as long as the denominator equals 0 (it doesn't matter if it's positive or negative), we have to figure out when x^2=0, which is when x=0. Therefore, the domain is (-inf, 0) U (0, inf) 
3 0
3 years ago
Other questions:
  • A plane flew 193 km in 12 minutes at constant speed. what was the speed of the airplane in km per hour?
    8·1 answer
  • Please tell me if my answer is right.. The question- Approximately how many gigabytes (GB) of new data will be produced in 2012?
    13·1 answer
  • Can someone please help me? 20 Pts!!!
    14·2 answers
  • Divide 1.20m in the ratio 2:3:4 what's the answer
    8·1 answer
  • What's the simplest form of 2x+3
    15·1 answer
  • The cost function for q units of a certain item is ​C(q)equals109 q plus 90. The revenue function for the same item is ​R(q)equa
    15·1 answer
  • A bag contains 4 red, 2 blue, 6 green and 8 white marbles. What is the probability of selecting a green marble, replacing it, th
    14·1 answer
  • Every year after a new car is
    15·1 answer
  • HELP ME PLEASE I REALLY COULD USE IT BRAINLY GOES TO THE CORRECT ANSWER
    11·2 answers
  • Help will name Brainliest
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!