If 6cos^-1(x² - 4x√3/2 =π , what is the valued of X.
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Answer:
sin
−1
(x)ϵ[−1,1]
Therefore
−1≤x
2
−4x+6≤1
−1≤(x−2)
2
−4+6≤1
−1≤(x−2)
2
+2≤1
−3≤(x−2)
2
≤−1
Now, (x−2)
2
>0 for all xϵR.
Hence the inequality
−3≤(x−2)
2
≤−1 yields no real real values of x.
Therefore,
∣x
2
−4x+6∣ cannot be less than or equal to 1.
Hence sin
−1
(x
2
−4x+6) is no possible.
The, same goes for cosx.
Hence the answer is none of these
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