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Answer:
10-10
Step-by-step explanation:
cos4x = cos2x
We know that:
cos2x = 1-2cos^2 x
==> cos4x = 1-2cos^2 (2x)
Now substitute:
==> 1-2cos^2 (2x) = cos2x
==> 2cos^2 (2x) + cos2x - 1 = 0
Now factor:
==> (2cos2x -1)(cos2x + 1) = 0
==> 2cos2x -1 = 0 ==> cos2x =1/2 ==> 2x= pi/3
==> x1= pi/6 , 7pi/6
==> x1= pi/6 + 2npi
==> x2= 7pi/6 + 2npi
==> cos2x = -1 ==> 2x= pi ==> x3 = pi/2 + 2npi.
<span>==> x= { pi/6+2npi, 7pi/6+2npi, pi/2+2npi}</span>
Answer:

Step-by-step explanation:
We can add the two equations to eliminate the variable
and solve for
:



Now, we can use substitution to solve for
:
(given)




Hope this helps :)
Answer:
a) the gradient of the linear graph is: 
b) the y-intercept of linear graph is -1
Step-by-step explanation:
a) Find the gradient of the linear graph.
The formula used to find gradient is same as slope

Take any 2 points from the graph.
I will take: (-3,0) and (0,-1)
Putting values in formula and finding gradient

So, the gradient of the linear graph is: 
b) Find the y-intercept of linear graph
The y-intercept of linear graph is the value of y at the point where the line crosses the y axis.
So, in the given graph, that point is -1
So, the y-intercept of linear graph is -1