Answer: ![x = \frac{\pi}{4}\pm k\frac{\pi}{2}\,\,\,\,\,\,k=\{0,1,2,...\}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B%5Cpi%7D%7B4%7D%5Cpm%20k%5Cfrac%7B%5Cpi%7D%7B2%7D%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2Ck%3D%5C%7B0%2C1%2C2%2C...%5C%7D)
Step by step:
![1 + 5\sin^2x= 7\sin^2x\\\sin^2 x\rightarrow z\\1 + 5z = 7z\\2z = 1\\z = \frac{1}{2}\implies \sin^2 x = \frac{1}{2}\\|\sin x| = \frac{1}{\sqrt{2}}\\\sin x = \pm\frac{1}{\sqrt{2}}=\pm\frac{\sqrt{2}}{2}\\\implies x = \frac{\pi}{4}\pm k\frac{\pi}{2}\,\,\,\,\,\,k=\{0,1,2,...\}](https://tex.z-dn.net/?f=1%20%2B%205%5Csin%5E2x%3D%207%5Csin%5E2x%5C%5C%5Csin%5E2%20x%5Crightarrow%20z%5C%5C1%20%2B%205z%20%3D%207z%5C%5C2z%20%3D%201%5C%5Cz%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5Cimplies%20%5Csin%5E2%20x%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5C%5C%7C%5Csin%20x%7C%20%3D%20%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%7D%5C%5C%5Csin%20x%20%3D%20%5Cpm%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%7D%3D%5Cpm%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B2%7D%5C%5C%5Cimplies%20x%20%3D%20%5Cfrac%7B%5Cpi%7D%7B4%7D%5Cpm%20k%5Cfrac%7B%5Cpi%7D%7B2%7D%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2Ck%3D%5C%7B0%2C1%2C2%2C...%5C%7D)
(Used a table of common angles)
Answer:
-768a
Step-by-step explanation:
6*-2a = -12a
-12a*64 = -768a
Answer:
Add -3+8
Step-by-step explanation:
You would do this first because it is in the brackets. Usually you would do (*) first but those are just there because the 4 is negative and if they were not there it would get confusing and look like this::[-3+8]--4. So the next step would be the [*].
HOPE THIS HELPS!!!
Answer:
-1
Step-by-step explanation:
We can use the slope formula to find the slope
m = ( y2-y1)/(x2-x1)
= ( 3-7)/(2- -2)
= (3-7)/(2+2)
= -4/4
= -1