Question

help me solve x=pi/2+k(pi), -3(pi) less than or equal to x and x is also less than or equal to 3(pi).
k is any integer list all possible values for x that are specified in interval.

Answer 1

Let n=pi

x=n/2+k*n,
-3n<=x,
x<=3n

So, -3n<=n/2+k*n --> (-3n-n/2)/n <= k
And, n/2+k*n<=3n --> k<=(3n-n/2)/n

Therefore
(-3n-n/2)/n <= k <=(3n-n/2)/n

Those are your bounds for k, substitute each into x=n/2+k*n and you'll have your bounds for x.

Answer 2

ok thank you

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