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
Given
Divide it by (x+1) using synthetic division, as shown below
The green line is a minus sign.
Thus,
Therefore, since the remainder is different than zero, (x+1) is not a factor of 4x^2+2x-5
The opposite angles of the cyclic quadrilateral are equal to 180 degrees which are supplementary angles.
<h3>What is a cyclic quadrilateral?</h3>
If the quadrilateral is inscribed in a circle then the quadrilateral is known as a cyclic quadrilateral.
A quadrilateral can be inscribed in a circle, if and only if, the opposite angles in that quadrilateral are supplementary.
We know that the sum of the opposite angles of the cyclic quadrilateral is equal to 180 degrees.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
More about the cyclic quadrilateral link is given below.
brainly.com/question/15061291
#SPJ1
Plug the x value which is 2 back to the x and solve.
I gave you two answers because I wasn’t sure if the question was (x^2) - 2 or x^2-2.
Those two functions look similar but is totally different so keep that in mind.
Hope you have a victorious day!
Answer:
The answer is already in the question. The coordinates of the entrance to the Mount Rushmore parking area are given by latitude 43.8753972 and longitude -103.4523083.
Step-by-step explanation:
I believe the person asking the question wants some other detail that s/he did not state explicitly.
