cos (2x) = cos x
2 cos^2 x -1 = cos x using the double angle formula
2 cos ^2 x -cos x -1 =0
factor
(2 cos x+1) ( cos x -1) = 0
using the zero product property
2 cos x+1 =0 cos x -1 =0
2 cos x = -1 cos x =1
cos x = -1/2 cos x=1
taking the arccos of each side
arccos cos x = arccos (-1/2) arccos cos x = arccos 1
x = 120 degrees x=-120 degrees x=0
remember you get 2 values ( 2nd and 3rd quadrant)
these are the principal values
now we need to add 360
x = 120+ 360n x=-120+ 360n x = 0 + 360n where n is an integer
Guessing you meant by a factor of 3... not 13 since none of the solutions are anywhere close to that.
to compress is to smoosh.
It's the equation of a line. If you smoosh it vertically the line becomes flatter and the slope smaller.
Essentially g(x) = 3f(x)
3y = 12x + 6
y = (12/3)x + 6/3
y = 4x + 2
5. 4inch
6. 6cm
7. Cannot tell
8. 50mm
9. Cannot tell
10. 1.5cm
Answer:
Step 3
Step-by-step explanation:
Answer:
50%
Step-by-step explanation:
The percent error is equal to the absolute value, difference of the measured value or your experimental value minus the actual value divided by the actual value times 100%;
Here we have;
Measured Valued = 120 pennies
Actual Value = 80 pennies
% error = 
% error = 
% error = 
% error = 
% error = 50%
So, 50% is the percent error for Diego
