Recall that
cos²(<em>x</em>) + sin²(<em>x</em>) = 1
Then in the equation
1 - cos(<em>x</em>) = 2 - 2 sin²(<em>x</em>)
we can rewrite as
1 - cos(<em>x</em>) = 2 (1 - sin²(<em>x</em>))
1 - cos(<em>x</em>) = 2 cos²(<em>x</em>)
2 cos²(<em>x</em>) + cos(<em>x</em>) - 1 = 0
Factorize the left side as
(2 cos(<em>x</em>) - 1) (cos(<em>x</em>) + 1) = 0
so that
2 cos(<em>x</em>) - 1 = 0 <u>or</u> cos(<em>x</em>) + 1 = 0
cos(<em>x</em>) = 1/2 <u>or</u> cos(<em>x</em>) = -1
On the interval (-<em>π</em>, <em>π</em>) (note that this interval is open, so we don't allow <em>x</em> = <em>π</em>), we have
• cos(<em>x</em>) = 1/2 for <em>x</em> = <em>π</em>/3 and <em>x</em> = -<em>π</em>/3
• cos(<em>x</em>) = -1 for <em>x</em> = <em>π</em>
Answer:
A. 18
add them all and divide by 8
Answer:
14.85
Step-by-step explanation:
The two negatives at the beginning cancel eachother out so it becomes 12.65 +6 but first you have to multiply the 6 by 0.2 which you get 1.2 and you add 1 and get 14.85
^^^^^^^^^^^
12.65+1.2+1
Answer:
From largest to smallest: FG, FH, GH
Step-by-step explanation:
Given
Required
Order the sides in descending order
First, we need to solve for x.
Perimeter of FGH is calculated as thus:
Substitute values for FG, GH, FH and Perimeter
Collect Like Terms
Reorder
Divide through by 24
Substitute 4 for x in FG, GH and FH
In order of arrangement in descending order, we have:
Answer: it’s a
Step-by-step explanation:
