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
Minchanka [31]
2 years ago
8

Given that the value of x is between 0 and 360 degrees (0 and 360

Mathematics
1 answer:
Brums [2.3K]2 years ago
6 0

Answer:

  • 150° and 210°
  • 0

Step-by-step explanation:

It is convenient to memorize the trig functions of the "special angles" of 30°, 45°, 60°, as well as the way the signs of trig functions change in the different quadrants. Realizing that the (x, y) coordinates on the unit circle correspond to (cos(θ), sin(θ)) can make it somewhat easier.

__

<h3>20.</h3>

You have memorized that cos(x) = (√3)/2 is true for x = 30°. That is the reference angle for the 2nd-quadrant angle 180° -30° = 150°, and for the 3rd-quadrant angle 180° +30° = 210°.

Cos(x) is negative in the 2nd and 3rd quadrants, so the angles you're looking for are

 150° and 210°

__

<h3>Bonus</h3>

  You have memorized that sin(π/4) = √2/2, and that cos(3π/4) = -√2/2. The sum of these values is ...

  √2/2 + (-√2/2) = 0

_____

<em>Additional comments</em>

Your calculator can help you with both of these problems.

The coordinates given on the attached unit circle chart are (cos(θ), sin(θ)).

You might be interested in
Lines AC←→ and DB←→ intersect at point W. Also, m∠DWC=138° .
mr_godi [17]

m∠DWC=138°, ∠AWB = 138°, ∠AWD = 42°, ∠BWC = 42°

Solution:

Line \overrightarrow{A C} \text { and } \overrightarrow{B D} intersect at a point W.

Given m \angle D W C=138^{\circ}.

<em>Vertical angle theorem:</em>

<em>If two lines intersect at a point then vertically opposite angles are congruent.</em>

<u>To find the measure of all the angles:</u>

∠AWB and ∠DWC are vertically opposite angles.

Therefore, ∠AWB = ∠DWC

⇒ ∠AWB = 138°

Sum of all the angles in a straight line = 180°

⇒ ∠AWD + ∠DWC = 180°

⇒ ∠AWD + 138° = 180°

⇒ ∠AWD = 180° – 138°

⇒ ∠AWD = 42°

Since ∠AWD and ∠BWC are vertically opposite angles.

Therefore, ∠AWD = ∠BWC

⇒ ∠BWC = 42°

Hence the measure of the angles are

m∠DWC=138°, ∠AWB = 138°, ∠AWD = 42°, ∠BWC = 42°.

7 0
3 years ago
listed in the table is the percentage of students who choose each type of milk at lunchtime. use the table to determine the meas
sladkih [1.3K]

Answer:

i cant see the picture its blocked

Step-by-step explanation:

5 0
3 years ago
When a grizzly bear hibernate it’s heart rate drops to 10 beats per minute which 20% of its normal value
sweet [91]

Answer:

true

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The tax rate is 3.9%<br> What is the tax on 42$? <br> Round to the nearest hundredth
mafiozo [28]
To find the total price, we use this equation:
42 + 0.039(42)
We can make it simpler:
1.039(42)
Multiply:
43.638
Because we're rounding
The total price is $43.64

7 0
3 years ago
Shania is buying a car. She has narrowed her choice down to three cars: a sedan, a hatchback, and a wagon. She uses a spinner di
Bess [88]

Answer:

its D

Step-by-step explanation:

8 0
3 years ago
Read 3 more answers
Other questions:
  • Dylan is six years older than his sister. If his sister's age is represented by the variable s, which of the following expressio
    7·1 answer
  • Look at these numbers.
    15·1 answer
  • 7m plus 8 equals 71 <br> How do u solve
    13·1 answer
  • PLEASE HELP ME WITH FLVS I WILL FAN YOU AND GIVE YOU A MEDAL!!!!
    15·1 answer
  • Shella puts $16.00 in a bank account that gains 25% interest annually.
    7·2 answers
  • Someon help me answer this!!
    6·1 answer
  • Which confidence level would produce the widest interval when estimating the mean of a population based on the mean and standard
    5·1 answer
  • May someone please help me
    9·2 answers
  • Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
    12·2 answers
  • The sum of 4 consecutive odd integers is equal to zero. Write an equation to model the sentence. Solve the equation to find the
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!