Pretty sure it’s the bottom right option
Step-by-step explanation:
![\sin^{4}x \: - \cos^{4} x = (\sin^{2}x)^{2} - (\cos^{2}x)^{2}](https://tex.z-dn.net/?f=%5Csin%5E%7B4%7Dx%20%20%5C%3A%20%20-%20%20%5Ccos%5E%7B4%7D%20x%20%3D%20%28%5Csin%5E%7B2%7Dx%29%5E%7B2%7D%20%20-%20%28%5Ccos%5E%7B2%7Dx%29%5E%7B2%7D%20)
![= (\sin^{2}x)^{2} - (1 - \sin^{2}x)^{2}](https://tex.z-dn.net/?f=%20%3D%20%28%5Csin%5E%7B2%7Dx%29%5E%7B2%7D%20%20-%20%281%20-%20%5Csin%5E%7B2%7Dx%29%5E%7B2%7D%20)
![= \sin^{4}x - (1 - 2\sin^{2}x + \sin^{4}x)](https://tex.z-dn.net/?f=%20%3D%20%5Csin%5E%7B4%7Dx%20-%20%281%20-%202%5Csin%5E%7B2%7Dx%20%2B%20%5Csin%5E%7B4%7Dx%29)
![= 2\sin^{2}x - 1](https://tex.z-dn.net/?f=%20%3D%202%5Csin%5E%7B2%7Dx%20-%201)
![= - \cos2x](https://tex.z-dn.net/?f=%20%3D%20%20-%20%5Ccos2x)
Note: I used the identity
![{ \sin }^{2} x = \frac{1}{2} (1 - \cos \: 2x)](https://tex.z-dn.net/?f=%20%7B%20%5Csin%20%7D%5E%7B2%7D%20x%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%281%20-%20%20%5Ccos%20%5C%3A%202x%29)
for the last step.
PS. I love proving trigonometric identities!
170 divided by 39.37= 4.32 meter
Answer:
3/8
Step-by-step explanation:
you have to simplify the fractions
6/8-3/8
3/8
Answer:
301.44 cm ^ 2
Step-by-step explanation:
We have that the total surface area of a cone would be the sum of the base area and the lateral surface area.
the area of the base, being a circle is pi * r ^ 2
the lateral area would come being the multiplication between the inclined height, the radius and the number pi, that is to say pi * r * l
the inclined height is calculated using the Pythagorean theorem, the legs being the radius and the altitude, thus:
l ^ 2 = 6 ^ 2 + 8 ^ 2
l ^ 2 = 100
l = 10
Therefore, we can replace:
A = 3.14 * 6 ^ 2 + 3.14 * 10 * 6
A = 301.44
It means that the total surface area is 301.44 cm ^ 2