Answer:
(3/8) + (1/8)cos 4x - (1/2)cos 2x
Step-by-step explanation:
sin^(4) x = (sin² x ) (sin² x) ------ (1)
Recall double angle identity: cos 2x = 1 - 2 sin² x
or sin² x = (1/2) (1 - cos 2x)
substituting this into (1)
sin^(4) x = (sin² x ) (sin² x) = [ (1/2)(1-cos 2x) ]²
= (1/4) ( 1 - 2 cos 2x + cos²2x) ------(2)
Also recall double angle identiy : cos 2x = 2 cos² x - 1
or cos² x = (1/2) ( 1+ cos 2x)
or cos² 2x = (1/2) ( 1+ cos 4x)
substituting this into (2)
(1/4) ( 1 - 2 cos 2x + cos²2x)
= (1/4) [ 1 - 2 cos 2x + (1/2)(1 + cos 4x) ] (expand and reduce)
= (3/8) + (1/8)cos 4x - (1/2)cos 2x
Answer:
e=3 d=2
e=7 d=3
e=11 d=4
e=15 d=5
Step-by-step explanation:
all you have to do is solve for the d by substituting the value of e into the equation.
Answer:
its B
Step-by-step explanation:
pls do not listen to the other person
you have to add the tax so multiplying the two together instead of just adding them would get the same number
(also x+0.05x is literally 1.05x anyway)
hope this helps <3
The monthly earning of two employees are determined by the number of products they sell in that month, plus a fixed amount.
Employee X:
Each month, this employee earns $245 per product sold plus $1,600.
Employee Y:
E = 270p + 1,750, where E is the monthly earnings and p is the number of products sold.
(How much does each employee earn if they do not sell any products that month?
Employee X earns $[?]
Employee Y earns $[?]
Answer:
55
Step-by-step explanation:
A right triangle always has one angle which is equal to 90 degrees. You have been given the second angle which is 35 degrees hence to get the second acute angle you do:
180 - (90+35)
= 55