Step 1: Convert
, which is in radians into degrees. To convert it multiply by ![\frac{180}{\pi }](https://tex.z-dn.net/?f=%5Cfrac%7B180%7D%7B%5Cpi%20%7D)
![\frac{5\pi }{12} =\frac{180}{\pi }](https://tex.z-dn.net/?f=%5Cfrac%7B5%5Cpi%20%7D%7B12%7D%20%3D%5Cfrac%7B180%7D%7B%5Cpi%20%7D)
900/12
75
Step 2: 75 degrees isn't on the unit circle but 45 degrees and 30 degrees is. Since 45 + 30 = 75 you can use the cosine of 45 and 30 to find the exact value
cos45 = ![\frac{\sqrt{2} }{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B2%7D%20%7D%7B2%7D)
cos30 =![\frac{\sqrt{3} }{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B3%7D%20%7D%7B2%7D)
Step 3: Add the cos45 and cos30 to get cos5pi/12
![\frac{\sqrt{2} }{2} +\frac{\sqrt{3} }{2} = \frac{\sqrt{2}+\sqrt{3}}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B2%7D%20%7D%7B2%7D%20%2B%5Cfrac%7B%5Csqrt%7B3%7D%20%7D%7B2%7D%20%3D%20%5Cfrac%7B%5Csqrt%7B2%7D%2B%5Csqrt%7B3%7D%7D%7B2%7D)
Hope this helped!
The simpliest form is 71/10, the fraction
Step-by-step explanation:
Since this isn't a really small (1/1000000000) or really big (like the radius of the earth) number you don't need the standard notation, so the fraction 71/10 is the simpliest because there is only a decimal, so it can be a fraction of ten.
X² + 6x + ____ - (y² + 4y + ____ ) = -4 + ____ + ____
x² + 6x + 9 - (y² + 4y + 4 ) = -4 + 9 + -4
(x + 3)² - (y + 2)² = 1
Answer: B
In 7 hours 644 newpapers
in one hour it is 644/7= 92
in 9 hours-> 92x9 =828 newspapers
Answer:
Step-by-step explanation:
f(x) = (2x^2 + 1)
( f(3 + h) - f(3) ) / h
f(3 + h) = 2(3 + h)^2 + 1)
f(3 + h) = 2(9 + 6h + h^2) + 1
f(3 + h) = 18 + 12h + 2h^2 + 1
f(3 + h) = 19 + 12h +2h^2
f(3) = 2*(3^2) + 1
f(3) = 2(9) + 1
f(3) = 19
f(3 + h) - f(3) = 2h + 2h^2 The 19s cancel out
f(3 + h) - f(3) = 2h(1 + h^2)
( f(3 + h) + f(3) ) / h = 2h ( 1 + h^2) / h = 2 ( 1 + h^2)