The answer in the simplest form : 3/4
cos4x = cos2x
We know that:
cos2x = 1-2cos^2 x
==> cos4x = 1-2cos^2 (2x)
Now substitute:
==> 1-2cos^2 (2x) = cos2x
==> 2cos^2 (2x) + cos2x - 1 = 0
Now factor:
==> (2cos2x -1)(cos2x + 1) = 0
==> 2cos2x -1 = 0 ==> cos2x =1/2 ==> 2x= pi/3
==> x1= pi/6 , 7pi/6
==> x1= pi/6 + 2npi
==> x2= 7pi/6 + 2npi
==> cos2x = -1 ==> 2x= pi ==> x3 = pi/2 + 2npi.
<span>==> x= { pi/6+2npi, 7pi/6+2npi, pi/2+2npi}</span>
Asher gave lemonade to 14 students
<em><u>Solution:</u></em>
Given that, A container has 12 and
cups of lemonade
Asher gives each of his classmates
of a cup of lemonade
To find: Number of classmates received the lemonade
From given question,
Total cups of lemonade = 

cups of lemonade received by each classmate = 
Thus, number of classmates received the lemonade can be found by dividing total cups of lemonade by cups of lemonade received by each classmate


Thus Asher gave lemonade to 14 students
A proper fraction is a fraction less than one, with the numerator less than the denominator so 1/2 is your answer
Answer:
D
Step-by-step explanation:
she refuses to pay because the owners of the place shes living is supposed to fix damage and they have not done so she refuses to pay the rent.