<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
<span>get all your x one on side and y on the opposing side
so we have
xdy=4ydx
dy/y=4dx/x
</span><span>integrate both sides
</span><span>lny=4lnx+C
</span><span> y=e^(4lnx+C)
</span><span>The answer is y=cx^4 </span>
The common demoninator of 10 can be 6. 11 is 12 and 12 is just five.
Answer:
1/2
Step-by-step explanation:
1/4÷1/2
1/4*2/1
2/4
1/2
Points to remember:if u change dividion sign into multiplication sign do it's reciprocal.
Answer:
draws
Step-by-step explanation: