Answer:
.
Step-by-step explanation: Given expression : ![\frac{sin \theta \ sec \theta }{cos \theta \ tan \theta} .](https://tex.z-dn.net/?f=%5Cfrac%7Bsin%20%5Ctheta%20%5C%20sec%20%5Ctheta%20%7D%7Bcos%20%5Ctheta%20%5C%20tan%20%5Ctheta%7D%20.)
We know,
![sec \theta = \frac{1}{cos \theta}](https://tex.z-dn.net/?f=sec%20%5Ctheta%20%3D%20%5Cfrac%7B1%7D%7Bcos%20%5Ctheta%7D)
![tan \theta = \frac{sin \theta}{cos \theta}](https://tex.z-dn.net/?f=tan%20%5Ctheta%20%3D%20%5Cfrac%7Bsin%20%5Ctheta%7D%7Bcos%20%5Ctheta%7D)
Substituting those values in given expression, we get
=![\frac{sin \theta\ \frac{1}{cos \theta} } {cos \theta\ \frac{sin \theta}{cos \theta} }](https://tex.z-dn.net/?f=%5Cfrac%7Bsin%20%5Ctheta%5C%20%5Cfrac%7B1%7D%7Bcos%20%5Ctheta%7D%20%7D%20%7Bcos%20%5Ctheta%5C%20%5Cfrac%7Bsin%20%5Ctheta%7D%7Bcos%20%5Ctheta%7D%20%7D)
= ![\frac{sin \theta \ cos \theta}{cos \theta \ cos \theta \ sin \theta}](https://tex.z-dn.net/?f=%5Cfrac%7Bsin%20%5Ctheta%20%5C%20cos%20%5Ctheta%7D%7Bcos%20%5Ctheta%20%5C%20cos%20%5Ctheta%20%5C%20sin%20%5Ctheta%7D)
Crossing out
from top and bottom, we get
=![\frac{1}{cos \theta }](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bcos%20%5Ctheta%20%7D)
=
.
Answer:
3291÷500 or 6.582
Step-by-step explanation:
98.73 divide by 15 = 6.582
Answer:
C. 3
Step-by-step explanation:
Formula for slope is given as ![m = {y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=%20m%20%3D%20%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D%20)
The coordinates of any two points can be used in this formula. Let's use, (1, 5) and (2, 8).
Let,
![(1, 5) = (x_1, y_1)](https://tex.z-dn.net/?f=%20%281%2C%205%29%20%3D%20%28x_1%2C%20y_1%29%20)
![(2, 8) = (x_2, y_2)](https://tex.z-dn.net/?f=%20%282%2C%208%29%20%3D%20%28x_2%2C%20y_2%29%20)
Plug the values into the formula:
![m = {8 - 5}{2 - 1}](https://tex.z-dn.net/?f=%20m%20%3D%20%7B8%20-%205%7D%7B2%20-%201%7D%20)
![m = {3}{1}](https://tex.z-dn.net/?f=%20m%20%3D%20%7B3%7D%7B1%7D%20)
![m = 3](https://tex.z-dn.net/?f=%20m%20%3D%203%20)
I have a doubt with the first. That can be correct if is the same that ln(ab)^2-ln a.
The second is correct.
The third is correct. Remember xlny=ln(y^x).
The number four is not correct. Only is equal to the first two terms.
The number five is not correct. Is the same that number four.
Good luck!