the equation is - tan2 x + sec2 x = 1.
Left hand side identity : - tan2 x + sec2 x.
Trigonometric function : tan x = sin x / cos x,
Reciprocal identity : sec x = 1/cos x.
- tan2 x + sec2 x = - (sin x/cos x)2 + (1/cos x)2
= - sin2 x/cos2 x + 1/cos2 x
= (1 - sin2 x)/cos2 x
Pythagorean identity : sin2 x + cos2 x = 1 .
= cos2 x / cos2 x
= 1
Step-by-step explanation and the Answer:
![14+4x=2-28](https://tex.z-dn.net/?f=14%2B4x%3D2-28)
Combine Like Terms. Now the equation looks like this:
Then Subtract
from both sides. Then the equation looks like this after u subtract
from both sides: ![4x=-40](https://tex.z-dn.net/?f=4x%3D-40)
Now divide
from both sides. Now the equation looks like this after u Divide
from both sides: ![x=-10](https://tex.z-dn.net/?f=x%3D-10)
So therefore the answer is
.
Answer:
![V=137.25\ cm^3](https://tex.z-dn.net/?f=V%3D137.25%5C%20cm%5E3)
Step-by-step explanation:
Given that,
The diameter of the sphere, d = 6.4 cm
Radius, r = 3.2 cm
We need to find the volume of the sphere. The formula for the volume of a sphere is given by :
![V=\dfrac{4}{3}\pi r^3\\\\=\dfrac{4}{3}\pi \times (3.2)^3\\\\=137.25\ cm^3](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3%5C%5C%5C%5C%3D%5Cdfrac%7B4%7D%7B3%7D%5Cpi%20%5Ctimes%20%283.2%29%5E3%5C%5C%5C%5C%3D137.25%5C%20cm%5E3)
So, the volume of the sphere is equal to
.
It took mike and sam 5 hours and 11 minutes to finish the race