Answer:
x = -1
Step-by-step explanation:
The x value of the axis of symmetry is precisely halfway between the two given x-intercepts: -5 and 3 are 8 units apart. Add half of 8 units, or 4 units, to -5, to obtain:
-5 + 4 = -1
The equation of the axis of symmetry is therefore x = -1.
<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:
The final answer is
1/11
Step-by-step explanation:
13/143
= (13/13) / (143/13)
= 1/11
1 radian is 57.2958 degrees
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