cos^-1 (sqrt3/2) = 30 degrees
The correct answer is option (B) 30 degrees.
What is inverse function?
"For a function y = f(x), an inverse function is [tex]f^{-1}(y)=x[/tex]"
For given example,
We need to find the inverse function value in degrees cos^-1 (sqrt3/2).
Let, x be the inverse function value.
[tex]\Rightarrow x = cos^{-1}(\frac{\sqrt{3} }{2})\\\\\Rightarrow cos(x) = \frac{\sqrt{3} }{2}[/tex]
We know, cos(30°) = √3/2
⇒ cos(x) = cos(30°)
⇒ x = 30°
Therefore, cos^-1 (sqrt3/2) = 30 degrees
The correct answer is option (B) 30 degrees.
Learn more about the inverse function here:
brainly.com/question/15670297
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