<em>The right answer for:</em>
<em>cos(-170°) = _____</em>
<em>is:</em>
<em>-cos10°</em>
<h2>
Explanation:</h2>
The cosine function is an even function, which means that for every point
on the graph of
then the point
also lies on the graph of the function. In other words, we can write:
![cos(-170^{\circ})=cos(170^{\circ})](https://tex.z-dn.net/?f=cos%28-170%5E%7B%5Ccirc%7D%29%3Dcos%28170%5E%7B%5Ccirc%7D%29)
But:
![170^{\circ}=180^{\circ}-10^{\circ}](https://tex.z-dn.net/?f=170%5E%7B%5Ccirc%7D%3D180%5E%7B%5Ccirc%7D-10%5E%7B%5Ccirc%7D)
So:
![cos(170^{\circ})=cos(180^{\circ}-10^{\circ})](https://tex.z-dn.net/?f=cos%28170%5E%7B%5Ccirc%7D%29%3Dcos%28180%5E%7B%5Ccirc%7D-10%5E%7B%5Ccirc%7D%29)
By property:
![cos(a-b)=cosacosb+sinasinb \\ \\ a=180^{\circ} \\ \\ b=10^{\circ} \\ \\ cos(170^{\circ} )=cos(180^{\circ} -10^{\circ})=cos180^{\circ} cos10^{\circ} +sin180^{\circ} sin10^{\circ} \\ \\ cos(170^{\circ})=-cos(10^{\circ})+0 \\ \\ \boxed{cos(170^{\circ})=-cos(10^{\circ})}](https://tex.z-dn.net/?f=cos%28a-b%29%3Dcosacosb%2Bsinasinb%20%5C%5C%20%5C%5C%20a%3D180%5E%7B%5Ccirc%7D%20%5C%5C%20%5C%5C%20b%3D10%5E%7B%5Ccirc%7D%20%5C%5C%20%5C%5C%20cos%28170%5E%7B%5Ccirc%7D%20%29%3Dcos%28180%5E%7B%5Ccirc%7D%20-10%5E%7B%5Ccirc%7D%29%3Dcos180%5E%7B%5Ccirc%7D%20cos10%5E%7B%5Ccirc%7D%20%2Bsin180%5E%7B%5Ccirc%7D%20sin10%5E%7B%5Ccirc%7D%20%5C%5C%20%5C%5C%20%20cos%28170%5E%7B%5Ccirc%7D%29%3D-cos%2810%5E%7B%5Ccirc%7D%29%2B0%20%5C%5C%20%5C%5C%20%5Cboxed%7Bcos%28170%5E%7B%5Ccirc%7D%29%3D-cos%2810%5E%7B%5Ccirc%7D%29%7D)
<h2>Learn more:</h2>
Trigonometric functions: brainly.com/question/2680050
#LearnWithBrainly
Answer: The answer is the X is 3
Step-by-step explanation:
8*x = 3 would be 24, 24 + 7 will be 21
Answer:
It's False!
Step-by-step explanation:
Add 1 x100,000 + 3x10,000 + 9 x 1,000 +8x 100 + 5x 10+ 2x1 = 139,852. One hundred thirty nine thousand eight hundred fifty two
The inequality that represents the scenario is x > 8
<h3>How to determine the inequality?</h3>
From the question, we understand that:
Abel ran more than 8 miles this week
Let the number of miles be x.
The text "more than" means that we make use of the greater than inequality symbol
So, the inequality that determines the steps is:
x > 8
Read more about inequality at:
brainly.com/question/11234618