Urgent

find the exact value by using a half-angle identity.

cosine of negative pi divided by eight

one half times the square root of quantity two minus square root of two
one half times the square root of quantity one minus square root of two
one half times the square root of quantity two plus square root of two
one half times the square root of quantity one plus square root of two

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value