Answer:
The given statement:
The expression cos^-1 (3/5) has an infinite number of values is a true statement.
Step-by-step explanation:
We are given a expression as:
\(\arccos (\dfrac{3}{5})\)
Let us equate this expression to be equal to some angle theta(θ)
i.e.
Let
\(\arccos (\dfrac{3}{5})=\theta\\\\\cos \theta=\dfrac{3}{5}\)
As we know that the limit point of the cosine function is [-1,1]
i.e. it takes the value between -1 to 1 and including them infinite number of times.
Also,
-1< 3/5 <1
This means that the cosine function takes this value infinite number of times.
That is there exist a infinite number of theta(θ) for which:
\(\cos \theta=\dfrac{3}{5}\)
i.e. the expression:
\(\arccos (\dfrac{3}{5})\) has infinite number of values.
