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:
18 white flowers
Step-by-step explanation:
We are given ratio:
Red : White
2 : 3
If Sally used 12 red flowers, how many white flowers will she use?
Let the number of white flowers Sally uses be represented by x
This is calculated as:
2/3 = 12/x
Cross Multiply
2 × x = 3 × 12
x = 3 × 12/2
x = 18 white flowers
Therefore, if Sally used 12 red flowers, the number of white flowers will she use is 18 white flowers.
Answer:
I cant see anything
Step-by-step explanation:
SRY U_U
True. No imaginary number is considered "whole", all whole numbers are rational and real.
Altho' I can easily guess what you're supposed to do here, I must point out that you haven't included the instructions for this problem.
I'll help you by example. Let's look at the first problem:
"Evaluate 6(z-1) at z-4."
Due to "order of operations" rules, we must do the work inside the parentheses FIRST. Replace the z inside (z-1) with "-4". We obtain
6(-4-1) = 6(-5) = -30 (answer.)
Your turn. Try the next one. If it's unclear, as questions.
