<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:
$493.71
Step-by-step explanation:
350(1 + 0.035/4)^4(10)
Answer:
3.You collect
4.Multiply the bottom by 4 and then add
5.Multiply the bottom by -2 and then add
6.Multiply the bottom by 2.Multiply the top by 3 and then add
7.Multiply the top by -3.Multiply the bottom by 2and then add
Step-by-step explanation:
X+y=-1/3
x-y=18
solve the system of equation:
equation 1 + equation 2: 2x=17&2/3=16&5/3
x=8&5/6
y=-1/3 -8&5/6=-8&7/6=-9&1/6
x=
Answer:
$86.60
Step-by-step explanation:
1. Subtract 8-3=5
2. Multiply 3*8.95=$26.85
3. Multiply 5*11.95=$59.75
4. Add $26.85+$59.75=$86.60