By applying Pythagorean theorem, we have proven that the point (-1/2, -√3/2) lies on the unit circle.
<h3>How to prove this point lies on the unit circle?</h3>
In Trigonometry, an angle with a magnitude of -120° is found in the third quarter and as such, both x and y would be negative. Also, we would calculate the reference angle for θ in third quarter as follows:
Reference angle = 180 - θ
Reference angle = 180 - 120
Reference angle = 60°.
For the coordinates, we have:
sin(-120) = -sin(60) = -1/2.
cos(-120) = -cos(60) = -√3/2.
By applying Pythagorean theorem, we have:
z² = x² + y²
z = √((-1/2)² + (-√3/2)²)
z = √(1/4 + 3/4)
z = √1
z = 1.
Read more on unit circle here: brainly.com/question/9797740
#SPJ1
Answer:
about 22.2 feet
Step-by-step explanation:
The wire can run diagonally across the floor and, from the intersection with the wall, diagonally up the wall. The total length is computed per the hint to be ...
d = √(18^2 +13^2) = √493 ≈ 22.20 . . . . feet
___
If the wire were to go up the short wall, its length would be ...
d = √(11^2 +20^2) = √521 ≈ 22.83 . . . . feet
_____
<em>Comment on the attachment</em>
The red represents the floor; the green represents the long wall.
Answer:
She can buy 5 rolls of crepe paper with 2ft of paper left.
Step-by-step explanation:
If you multiply 12ft by 4 sides you will get 48ft so then 5 rolls of paper that is 10ft equals 50ft so you will have more than enough paper
Answer:
Conclusion: x = 0
Step-by-step explanation:
given: If a ● b = 0, then a = 0 or b = 0
then for 3x = 0, either 3 = 0 (not possible because 3 is obviously not zero) or x = 0 (answer)
and 
. Then
, so that 
. We have
