The solution to 1 - cos(6x) is 2sin²(x).
Hence, option B) 2sin²(x) is the correct answer.
<h3>What is solution to 1 - cos(6x)?</h3>
Given that; 1 - cos(6x) = ?
First, we rewrite using trig identity
1 - cos(2 × 3x)
Using the double angle identity, { <em>cos2(x) = 1 - 2sin²(x)</em> }
1 - ( 1 - 2sin²(x) )
Eliminate the parentheses
1 - 1 + 2sin²(x)
2sin²(x)
The solution to 1 - cos(6x) is 2sin²(x).
Hence, option B) 2sin²(x) is the correct answer.
Learn more about trig identity here: brainly.com/question/10376944
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Answer:
Step-by-step explanation:
To find the value of x you must first set up an equation to solve for x. We are told that Hannah has written 142 more lines than Sam so we can make an equation by subtracting Sam's total from Hannah's total.
(7x + 78) - (6x + 73) = 142
Hannah - Sam = Difference
We then begin to solve. First we must distribute the subtraction to all parts of Sam's equation, creating a new equation of:
7x + 78 - 6x - 73 = 142
Then put like terms together
7x - 6x + 78 - 73 = 142
Condense the like terms
7x - 6x = x
78-73 = 5
x + 5 = 142
Then isolate the x by subtracting the 5.
x + 5 (-5)= 142 (-5)
x = 137
Then plug it back into the equation to check and see if your x is correct
(7x + 78) - (6x + 73) = 142
(7(137) + 78) - (6(137) + 73) = 142
(959 + 78) - (822 + 73) = 142
(1037) - (895) = 142
1037 - 895 = 142
Answer:
Step-by-step explanation:





The mean temperature of the orange juice is 5 °F <u>greater than</u> the mean temperature of the water
<h3>Calculating Average</h3>
From the question, we are to calculate how much greater the mean temperature of the orange juice is than the mean temperature of the water
From the given chart,
Mean temperature of orange juice = 
Mean temperature of orange juice = 
Mean temperature of orange juice = 73.33 °F
Mean temperature of water = 
Mean temperature of water = 
Mean temperature of water = 68.33 °F
Difference in temperature = 73.33 °F - 68.33 °F
Difference in temperature = 5 °F
Hence, the mean temperature of the orange juice is 5 °F <u>greater than</u> the mean temperature of the water
Learn more on Calculating average here: brainly.com/question/17102414
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Sorry if it’s a little messy. Hope this helps!