Answer:
![sin (-x) cos (-x) csc (-x) =cos(x)](https://tex.z-dn.net/?f=sin%20%28-x%29%20cos%20%28-x%29%20csc%20%28-x%29%20%3Dcos%28x%29)
Step-by-step explanation:
We know by definition that the cosine is an even function, therefore
![cos (-x) = cos (x)](https://tex.z-dn.net/?f=cos%20%28-x%29%20%3D%20cos%20%28x%29)
We also know that the sin is an odd function, therefore
![sin (-x) = -sin (x)](https://tex.z-dn.net/?f=sin%20%28-x%29%20%3D%20-sin%20%28x%29)
By definition:
![cscx = \frac{1}{sinx}.](https://tex.z-dn.net/?f=cscx%20%3D%20%5Cfrac%7B1%7D%7Bsinx%7D.)
Then:
![csc(-x) = \frac{1}{sin(-x)}.](https://tex.z-dn.net/?f=csc%28-x%29%20%3D%20%5Cfrac%7B1%7D%7Bsin%28-x%29%7D.)
![csc(-x) = -\frac{1}{sin(x)}.](https://tex.z-dn.net/?f=csc%28-x%29%20%3D%20-%5Cfrac%7B1%7D%7Bsin%28x%29%7D.)
Using these trigonometric properties we can simplify the expression
![sin (-x) cos (-x) csc (-x)= -sin(x)cos(x)*(-\frac{1}{sin(x)})\\\\sin (-x) cos (-x) csc (-x)=cos(x)](https://tex.z-dn.net/?f=sin%20%28-x%29%20cos%20%28-x%29%20csc%20%28-x%29%3D%20-sin%28x%29cos%28x%29%2A%28-%5Cfrac%7B1%7D%7Bsin%28x%29%7D%29%5C%5C%5C%5Csin%20%28-x%29%20cos%20%28-x%29%20csc%20%28-x%29%3Dcos%28x%29)
B or D, I forgot whether the open circle or the circle is the equal to one, if I had to guess I'd say B
Answer:
I need to see the number line
Step-by-step explanation:
Given that:
A = 63
B = 56
C = 61 (since these angles should be equal to 180)
a =
b =
c = 1/2
sin 63 / a = sin 61 / .5
a = .51 miles
sin 56 / b = sin 61 / .5
b = .47 miles
The correct answers are: 0.51 miles and 0.47 miles. These are <span>the distances from each observer to the sailboat.
</span>
Thank you for posting your question. I hope that this answer helped you. Let me know if you need more help.
Answer:
C = 3.14d
Step-by-step explanation:
From the table,
6.28÷2=3.14
9.42÷3=3.14
15.7÷5=3.14
31.4÷10=3.14