Please help me with math
1 answer:
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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:
Let us equate this expression to be equal to some angle theta(θ)
i.e.
Let
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:
i.e. the expression:
has infinite number of values.
Answer:
Option A
Step-by-step explanation:
Angular velocity of an object is defined by,
Angular velocity (w) =
Here, Δθ = Change in angle of rotation
Δt = Duration or time
In this question Δθ = radians and Δt = 24 seconds
Therefore, angular velocity =
= radians per second
Option A is the answer.