The following expressions (1+cosβ)(1−cosβ)sinβ is equivalent to sin³β
<h3>What are Trigonometric Ratios ?</h3>
In a Right angled triangle , trigonometric ratios can be used to determine the value of angles and sides of the triangle.
The trigonometric expression given in the question is
(1+cosβ)(1−cosβ)sinβ
(a+b)(a-b) = a² - b²
( 1 - cos²β)sinβ
By the trigonometric Identity
1-cos²β = sin² β
sin² β x sin β
sin³β
Therefore Option B is the correct answer.
To know more about Trigonometric Ratio
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That is the Identity Property of Multiplication
So there's 8 tiles.
Radius from archway to the outer edge would be : 7 +1 = 8ft
You can use this formula to count the area of semi circle : π r^2/2
A = 3.14 x 8ft^2 = 100.48 ft ^2
A = 3.14 x 7ft^2= 76.92 ft^2
100.48 - 76.92 = 23.55 ft^2
Then you have to divide it with the total tiles
23.55/8 = 2.94 ft^2 per tile >> (rounded to nearest tenth)
hope this helps
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