Answer: The value of the expression is 
.
Explanation:
The given expression is,
Step 1: Break the angles.
Step 2: Use quadrant concept to find the value of 
Step 3:Use 
![\sin (\frac{\pi}{4})[\cos (\frac{\pi}{4})\cos (\frac{\pi}{3})+\sin (\frac{\pi}{4})\sin (\frac{\pi}{3})]](https://tex.z-dn.net/?f=%5Csin%20%28%5Cfrac%7B%5Cpi%7D%7B4%7D%29%5B%5Ccos%20%28%5Cfrac%7B%5Cpi%7D%7B4%7D%29%5Ccos%20%28%5Cfrac%7B%5Cpi%7D%7B3%7D%29%2B%5Csin%20%28%5Cfrac%7B%5Cpi%7D%7B4%7D%29%5Csin%20%28%5Cfrac%7B%5Cpi%7D%7B3%7D%29%5D)
Step 4: Put these values by using trigonometric table.
![(\frac{1}{\sqrt 2})[(\frac{1}{\sqrt 2})(\frac{1}{2})+(\frac{1}{\sqrt 2})(\frac{\sqrt3}{2})]](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B%5Csqrt%202%7D%29%5B%28%5Cfrac%7B1%7D%7B%5Csqrt%202%7D%29%28%5Cfrac%7B1%7D%7B2%7D%29%2B%28%5Cfrac%7B1%7D%7B%5Csqrt%202%7D%29%28%5Cfrac%7B%5Csqrt3%7D%7B2%7D%29%5D)
![(\frac{1}{\sqrt 2})[(\frac{1}{2\sqrt 2})+(\frac{\sqrt3}{2\sqrt 2})]](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B%5Csqrt%202%7D%29%5B%28%5Cfrac%7B1%7D%7B2%5Csqrt%202%7D%29%2B%28%5Cfrac%7B%5Csqrt3%7D%7B2%5Csqrt%202%7D%29%5D)
Therefore, the value of the expression is .
Answer:
The second option, 6
Step-by-step explanation:
<em>opening the parentheses</em><em>,</em><em> </em><em>the</em><em> </em><em>equa</em><em>tion</em><em> </em><em>becomes</em><em>,</em>
4y - 24 = 0
4y = 24
y = 6
Answer:
I got R = -189
Step-by-step explanation:
Sorry if this didn't help :(
Great job for figuring it out on your own
