You can use the double angle formula
and ![\cos 2x = 1 - 2\sin^2 x](https://tex.z-dn.net/?f=%5Ccos%202x%20%3D%201%20-%202%5Csin%5E2%20x)
and the angle shift identity:
![\cos(90-x) = \sin x\\\sin (90-x) = \cos x](https://tex.z-dn.net/?f=%5Ccos%2890-x%29%20%3D%20%5Csin%20x%5C%5C%5Csin%20%2890-x%29%20%3D%20%5Ccos%20x)
So:
![\sin 10 + \frac{\sin 40}{\cos 40} \cos 10 = \\\sin 10 + \frac{\sin 40}{\cos 40} \sin 80 =\\ \sin 10 + \frac{\sin 40}{\cos 40} 2 \sin 40 \cos 40 = \\\sin 10 + 2 \sin ^2 40 = \\\cos 80 + \frac{2(1-\cos 80)}{2} = 1\\](https://tex.z-dn.net/?f=%5Csin%2010%20%2B%20%5Cfrac%7B%5Csin%2040%7D%7B%5Ccos%2040%7D%20%5Ccos%2010%20%3D%20%5C%5C%5Csin%2010%20%2B%20%5Cfrac%7B%5Csin%2040%7D%7B%5Ccos%2040%7D%20%5Csin%2080%20%3D%5C%5C%20%5Csin%2010%20%2B%20%5Cfrac%7B%5Csin%2040%7D%7B%5Ccos%2040%7D%202%20%5Csin%2040%20%5Ccos%2040%20%3D%20%5C%5C%5Csin%2010%20%2B%202%20%5Csin%20%5E2%2040%20%3D%20%5C%5C%5Ccos%2080%20%2B%20%5Cfrac%7B2%281-%5Ccos%2080%29%7D%7B2%7D%20%3D%201%5C%5C)
Answer:
In trigonometry the distance formula is used to find the distance between any two points.
The formula is given by
Step-by-step explanation:
Distance formula is used to find the distance between two points.
Let us suppose, there are two points A and B in xy- plane whose coordinates are
![A(x_1,y_1),B(x_2,y_2)](https://tex.z-dn.net/?f=A%28x_1%2Cy_1%29%2CB%28x_2%2Cy_2%29)
If d is the distance between these two points then the distance between A and B can be find using the below formula
![d=\sqrt{(x_2-x_2)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_2%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Answer:
45 two digit odd numbers are possible.
If you simply solve the equation for w, rather than "guess and check" using the values in the "replacement set," you find ...
... 6w +6 = 60 . . . . simplify the equation
... 6w = 54 . . . . . . . subtract 6
... w = 9 . . . . . . . . . divide by 6
The appropriate choice is ...
... D. 9
Answer:
4x10^6
9x10^8
1.7x10^9
2.7x10^10
6.2x10^9
Step-by-step explanation:
I hope this is correct