<span>cos 2x + sqrt(2) sinx=1
</span><span>
Note that: cos 2x = cos^2x - sin^2x = (1-sin^2x) - sin^2x = 1 - 2sin^2x.
So, when alternatively written, you have the following equation:
</span>- 2sin^2x + sqrt(2)sinx + 1 = 1
- 2sin^2x + sqrt(2)sinx = 0
Then, let z=sin(x). So you get,
- 2z^2 + sqrt(2)z = 0
z(- 2z + sqrt(2)) = 0
Either z=0, or - 2z + sqrt(2) = 0 ---> z=sqrt(2)/2.
Then, since z=0 or z=sqrt(2)/2, therefore sin(x)=0, or sin(x)=sqrt(2)/2.
Then, for you remains just to list the angles. (Let me know if this is not fair or if you got questions.)
Answer:
904.78
Step-by-step explanation:
we have the radius, which is 6.
were trying to find the volume.
the foemula for the v of a sphere is 4/3(pi)r^3
so, multiply 4/3 times pi and we get 4.18879.
find 6^3, which is 216. multiply tyese two values, and we get 904.77864.
so, the volume of this sphere is around 904.78
Answer:
The answer is y=6
Step-by-step explanation:
Move the constant to the right side and change its sign
3y=12+6
Add the numbers
12 +6
3y=18
Divide both sides of the equation by 3
Which equals
Y=6
Hope that helps
Answer:
y = 3x - 3, your answer is D.
Step-by-step explanation:
