The correct answer is that the angles created are equal.
The steps given are used to create an angle bisector of the angle. That means it divides the angle into 2 congruent angles.
The answer to your question is D
![tan \frac{x}{2} =\pm \sqrt{\frac{1-cos x}{1+cos x}}](https://tex.z-dn.net/?f=tan%20%5Cfrac%7Bx%7D%7B2%7D%20%3D%5Cpm%20%5Csqrt%7B%5Cfrac%7B1-cos%20x%7D%7B1%2Bcos%20x%7D%7D)
Find cos using trig identities:
![sec x = \frac{1}{cos x} \\ tan^2 x = sec^2 x -1](https://tex.z-dn.net/?f=sec%20x%20%3D%20%5Cfrac%7B1%7D%7Bcos%20x%7D%20%20%5C%5C%20tan%5E2%20x%20%3D%20sec%5E2%20x%20-1)
Therefore
![cos x = \frac{1}{sec x} =\pm \frac{1}{\sqrt{tan^2 x +1}}](https://tex.z-dn.net/?f=cos%20x%20%3D%20%5Cfrac%7B1%7D%7Bsec%20x%7D%20%3D%5Cpm%20%5Cfrac%7B1%7D%7B%5Csqrt%7Btan%5E2%20x%20%2B1%7D%7D)
Sub in tan x = 3, (Note that x is in 3rd quadrant, cos x < 0)
![cos x =- \frac{1}{\sqrt{3^2 +1}} = -\frac{1}{\sqrt{10}}](https://tex.z-dn.net/?f=cos%20x%20%3D-%20%5Cfrac%7B1%7D%7B%5Csqrt%7B3%5E2%20%2B1%7D%7D%20%3D%20-%5Cfrac%7B1%7D%7B%5Csqrt%7B10%7D%7D)
Finally, sub into Half-angle formula:(Note x/2 is in 2nd quadrant, tan x<0)
Answer:
I believe it is the third one but I am not sure, you can ask your teacher for help
Step-by-step explanation:
Answer:
The value of 'h' in the equation= ![0.39](https://tex.z-dn.net/?f=0.39)
Step-by-step explanation:
Given Equation:
![2.1 + (-3.7h) + 1.9 h - 1.4](https://tex.z-dn.net/?f=2.1%20%2B%20%28-3.7h%29%20%2B%201.9%20h%20-%201.4)
Finding the Solution for 'h'
Equating the equation to zero.
![2.1 + (-3.7h) + 1.9h - 1.4=0](https://tex.z-dn.net/?f=2.1%20%2B%20%28-3.7h%29%20%2B%201.9h%20-%201.4%3D0)
![2.1 -3.7h + 1.9h - 1.4=0\\](https://tex.z-dn.net/?f=2.1%20-3.7h%20%2B%201.9h%20-%201.4%3D0%5C%5C)
Taking the terms of 'h' to one side and constants to the other side:
![-3.7h + 1.9h =1.4-2.1](https://tex.z-dn.net/?f=-3.7h%20%2B%201.9h%20%3D1.4-2.1)
![-1.8h=-0.7](https://tex.z-dn.net/?f=-1.8h%3D-0.7)
![h=\frac{0.7}{1.8} \\\\h=0.39](https://tex.z-dn.net/?f=h%3D%5Cfrac%7B0.7%7D%7B1.8%7D%20%5C%5C%5C%5Ch%3D0.39)
The value of 'h' in the above equation= ![0.39](https://tex.z-dn.net/?f=0.39)