Find the difference quotient of f; that is, find StartFraction f left parenthesis x plus h right parenthesis minus f left pare
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Answer:
Step-by-step explanation:
The sine of an angle is defined as the ratio between the opposite side and the hypotenuse of a given right-angled triangle;
sin x = ( opposite / hypotenuse)
The opposite side to the angle x is thus 1 unit while the hypotenuse is 3 units. We need to determine the adjacent side to the angle x. We use the Pythagoras theorem since we are dealing with right-angled triangle;
The adjacent side would be;
The cosine of an angle is given as;
cos x = (adjacent side / hypotenuse)
Therefore, the cos x would be;
The arc length can be found using the formula, ∅ × r, which is: (5π)/3.
<h3>What is the Arc Length?</h3>Arc length = ∅ × r, where ∅ is the central angle in radians, and r is the radius of the circle.
Given the following:
- ∅ = 60° = 60° × π/180 (in radians)
- r = 5 cm
Length of the arc = 60° × π/180 × 5 = (60 × π × 5)/180
Length of the arc = (300π)/180 = (5π)/3
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