cos^-1 (sqrt2/2) = 45°
The correct answer is option (D) 45 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 (sqrt2/2).
Let, x be the inverse function value.
[tex]\Rightarrow x = cos^{-1}(\frac{\sqrt{2}}{2} )\\\Rightarrow x = cos^{-1}(\frac {1} {\sqrt{2}}} )\\\Rightarrow cos(x) = \frac{1}{\sqrt{2} }[/tex]
We know, cos(45°) = 1/sqrt(2)
⇒ cos(x) = cos(45°)
⇒ x = 45°
⇒ cos^-1 (sqrt2/2) = 45°
Therefore, cos^-1 (sqrt2/2) = 45 degrees
The correct answer is option (D) 45 degrees.
Learn more about the inverse function here:
https://brainly.com/question/15670297
#SPJ2
