Given:
cos 120°
To find:
The exact value of cos 120° in simplest form with a rational denominator.
Solution:
We have,

It can be written as

![[\because \cos (90^\circ-\theta)=-\sin \theta]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Ccos%20%2890%5E%5Ccirc-%5Ctheta%29%3D-%5Csin%20%5Ctheta%5D)
![[\because \sin 30^\circ=\dfrac{1}{2}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Csin%2030%5E%5Ccirc%3D%5Cdfrac%7B1%7D%7B2%7D%5D)

Therefore, the exact value of cos 120° is
.
Item A and B are in decimal format, convert Item C to decimal by changing the fraction to a decimal by dividing 11 by 16:
11 / 16 = 0.6875
This makes Item C 3.6875
Now you have the 3 items as decimal format now put them in order from smallest to largest:
3.65, 3.6875, 4.1
Item A, Item C, Item B
I believe the answer is
26
sorry if wrong
if not an answer choice then 168.
The required length of the hypotenuse of the triangle is √19.
<h3>
What is a right triangle?</h3>
- A right triangle, sometimes known as a right-angled triangle, or more formally an orthogonal triangle, formerly known as a rectangle triangle, is a triangle with one right angle or two perpendicular sides.
To find the required length of the hypotenuse of the triangle:
Legs in the right triangle refer to the perpendicular and base.
Hypotenuse:

Therefore, the required length of the hypotenuse of the triangle is √19.
Know more about right triangles here:
brainly.com/question/2437195
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