-4^3
a^3 r^2
Just add all the letters\numbers and the exponent will be how many of the numbers there are
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
Answer:
D
Step-by-step explanation:
If a function has x in the denominator, it cannot be a polynomial.
The rest of the options either don't apply to the equation, or are not rules for polynomials.
Answer:
Rounded to the nearest tenth, the length of the missing side is 5.4 in.
Step-by-step explanation:
According to the Pythagorean theorem, 
, where c is the length of the hypotenuse (the longest side), a and b are the lengths of the other two sides. We can use this to solve for the length of the hypotenuse of the right triangle shown in your question (the missing side):
This simplifies to 
. Now to solve for c (the length of the hypotenuse), we just take the square root of both sides of the equation and solve like so:
This simplifies to c≈5.4 in.
Answer:
20.14
Step-by-step explanation:
21.15 - 5%(1.01) = 20.14
