Answer:
![x = 0.175\cdot (1-\cos 4\cdot \theta)](https://tex.z-dn.net/?f=x%20%3D%200.175%5Ccdot%20%281-%5Ccos%204%5Ccdot%20%5Ctheta%29)
Step-by-step explanation:
Let use the following trigonometric identities:
![\sin^{2}\theta = \frac{1-\cos 2\cdot \theta}{2} \\\cos^{2}\theta = \frac{1+\cos 2\cdot \theta}{2}](https://tex.z-dn.net/?f=%5Csin%5E%7B2%7D%5Ctheta%20%3D%20%5Cfrac%7B1-%5Ccos%202%5Ccdot%20%5Ctheta%7D%7B2%7D%20%5C%5C%5Ccos%5E%7B2%7D%5Ctheta%20%3D%20%5Cfrac%7B1%2B%5Ccos%202%5Ccdot%20%5Ctheta%7D%7B2%7D)
Then, the equation is simplified by substituting its components:
![x = 1.40\cdot \left(\frac{1-\cos 2\cdot \theta}{2} \right)\cdot \left(\frac{1+\cos 2\cdot \theta}{2} \right)](https://tex.z-dn.net/?f=x%20%3D%201.40%5Ccdot%20%5Cleft%28%5Cfrac%7B1-%5Ccos%202%5Ccdot%20%5Ctheta%7D%7B2%7D%20%20%5Cright%29%5Ccdot%20%5Cleft%28%5Cfrac%7B1%2B%5Ccos%202%5Ccdot%20%5Ctheta%7D%7B2%7D%20%5Cright%29)
![x = 0.35\cdot (1-\cos^{2}2\cdot \theta)](https://tex.z-dn.net/?f=x%20%3D%200.35%5Ccdot%20%281-%5Ccos%5E%7B2%7D2%5Ccdot%20%5Ctheta%29)
![x = 0.35\cdot \sin^{2}2\cdot \theta](https://tex.z-dn.net/?f=x%20%3D%200.35%5Ccdot%20%5Csin%5E%7B2%7D2%5Ccdot%20%5Ctheta)
![x = 0.35\cdot \left(\frac{1-\cos 4\cdot \theta}{2} \right)](https://tex.z-dn.net/?f=x%20%3D%200.35%5Ccdot%20%5Cleft%28%5Cfrac%7B1-%5Ccos%204%5Ccdot%20%5Ctheta%7D%7B2%7D%20%20%5Cright%29)
![x = 0.175\cdot (1-\cos 4\cdot \theta)](https://tex.z-dn.net/?f=x%20%3D%200.175%5Ccdot%20%281-%5Ccos%204%5Ccdot%20%5Ctheta%29)
Answer:
<h2>
<u>-1 + √3 or -(1 - 2√3)</u></h2>
Step-by-step explanation:
(1 + √3) (2 - √3) = 2 - √3 + 2√3 - 3 = 2 - 3 - √3 + 2√3 = <u>-1 + √3 or -(1 - 2√3)</u>
The distance of UFO from KA-1212 is 1229.7 km
Answer:
Ans: H and A
Step-by-step explanation:
By the identity:
1-(cos(x))![cos^{2}(x)+ sin^{2}(x)=1\\cos^{2}(x)=1- sin^{2}(x)\\\\cos(x)=\sqrt{1- sin^{2}(x)} \\sin(x)=\sqrt{1- cos^{2}(x)}\\\\\sqrt{1- cos^{2}(x)}/sinx=1\\\sqrt{1- sin^{2}(x)}/cosx=1\\\sqrt{1- cos^{2}(x)}/sinx+\sqrt{1- sin^{2}(x)}/cosx=2\\\\\\](https://tex.z-dn.net/?f=cos%5E%7B2%7D%28x%29%2B%20sin%5E%7B2%7D%28x%29%3D1%5C%5Ccos%5E%7B2%7D%28x%29%3D1-%20sin%5E%7B2%7D%28x%29%5C%5C%5C%5Ccos%28x%29%3D%5Csqrt%7B1-%20sin%5E%7B2%7D%28x%29%7D%20%5C%5Csin%28x%29%3D%5Csqrt%7B1-%20cos%5E%7B2%7D%28x%29%7D%5C%5C%5C%5C%5Csqrt%7B1-%20cos%5E%7B2%7D%28x%29%7D%2Fsinx%3D1%5C%5C%5Csqrt%7B1-%20sin%5E%7B2%7D%28x%29%7D%2Fcosx%3D1%5C%5C%5Csqrt%7B1-%20cos%5E%7B2%7D%28x%29%7D%2Fsinx%2B%5Csqrt%7B1-%20sin%5E%7B2%7D%28x%29%7D%2Fcosx%3D2%5C%5C%5C%5C%5C%5C)
Ans: H
For second quesiton, the transformation of a graph is that:
f(x) + k means vertical translation up by k units
Two curve have the same maximum value, so the graph doesn't translate upwards or downwards, thus b=0
Ans: A
The answer would be A because line CB is equivalent to ZY tight? And angles Z and C are congruent. We also know that they are congruent by a ASA relationship, <u><em>so then angles Y and B are congruent, the answer is A.</em></u>