<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: X is less than 3
Step-by-step explanation:
4x - 7 < 5
Add 7 to both sides:
4x < 12
Divide both sides by 4:
x < 3
Answer:
B
Step-by-step explanation:
We are given f(x) is height in cm while x is days old.
We are also given f(60)=210.
If you compare f(60) to f(x) you should see that x is 60 so we have the sunflower is 60 days old. Since f(60)=210, then you have the height of the sunflower is 210 cm tall.
