Use synthetic division to solve
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The sector area and the arc length are 34.92 square inches and 13.97 inches, respectively
<h3>How to find a sector area, and arc length?</h3>For a sector that has a central angle of θ, and a radius of r;
The sector area, and the arc length are:
--- sector area
---- arc length
Here, the given parameters are:
Central angle, θ = 160
Radius, r = 5 inches
The sector area is
So, we have:
Evaluate
A = 34.92
The arc length is:
So, we have:
L = 13.97
Hence, the sector area and the arc length are 34.92 square inches and 13.97 inches, respectively
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A quadrant is the area that is divided into the x and y axes
The quadrants in which tan and cot
are positive are I and III
The tangent of an angle is calculated as:
While the cotangent of the angle is calculated as:
The above equations mean that:
For the tangent and cotangent of an angle to be positive, then the sine and the cosine of the angle must have the same sign.
- In the first quadrant, the sine and the cosine angles are positive.
- In the third quadrant, the sine and the cosine angles are negative.
Hence, the quadrants in which tan and cot
are positive are I and III
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