<h2><u>Answer:</u></h2>
x=(nπ/2)±15
x=(2nπ+90)/3
x=90-2nπ
<h2><u>Steps:</u></h2>
cos3x+sin2x-sin6x+cos5x=0
(cos3x+cos5x)+(sin2x-sin6x)=0
equation(1)
<u>Use formula:</u>
<u>So in equation (1),if c=3x ,d=5x,C=2x,D=6x</u>
》2cos{(c+d)/2}.cos{(c-d)/2}+2cos{(C+D)/2}.sin{(C-D)/2}=0
》2cos{(3x+5x)/2}.cos{(3x-5x)/2}+2cos{(2x+6x)/2}.sin{(2x-6x)/2}=0
》2cos(4x).cos(-x)+2cos(4x).sin(-2x)=0
》2cos(4x)[cos(-x)+sin(-2x)]=0
》2cos(4x)[cos(x)-sin(2x)]=0
<u>1)</u><u> </u><u>Either:</u>
2cos(4x)=0
cos(4x)=0/2
cos(4x)=0
cos(4x)=cos(90)
General solution for such case is:X=2n±a
So,
4x=2nπ±90
x=(2nπ±90)/4
x=(nπ/2)±15
<u>2) Or:</u>
cos(x)-sin(2x)=0
cos(x)=sin(2x)
General solution for such case is:X=2n±a
So,
x=2nπ±(90-2x)
x=2nπ±90±2x
x±2x=2nπ±90
<u>Take +ve sign,</u>
x+2x=2nπ+90
3x=2nπ+90
x=(2nπ+90)/3
<u>Take -ve sign,</u>
x-2x=2nπ-90
-x=2nπ-90
x=(2nπ-90)/(-1)
x=90-2nπ
Answer:
Part A: The 15 in the equations is Allison's allowance while the x is the number of months she gets allowance. The 100 in the equation is Allison's work money from the theater while the y is the number of months she works at the theatre.
Part B: The terms in this equation are 15x and 100y. 15x is her allowance profit and 100y is her work profit. I can tell this because 15 is the amount the makes from allowance and 100 is the amount she makes from work.
Part C: 15x is the term that represents the profit from her allowance.
Step-by-step explanation:
so the amount of allowance she gets is 15 * number of months
and I'm assuming she earns 100 * number of months
to make it more clear it would be better to write this equation as
Profit = 15m + 100m
where m = number of months
Answer:
Step-by-step explanation:
I think you need to first find the surface area for the 3 composite shapes which is the cube and the two triangular pyramids.
Once you have the surface area for all the three, then just add all of them together.
Answer:
Step-by-step explanation:
The point-slope equation of a line:
m - slope
The formula of a slope:
From the graph we have the points: (0, 3) and (2, -5). Substitute:
Answer:
awnser is ____
Step-by-step explanation:
