Precalculus Homework help please.
1 answer:
Answer:
see explanation
Step-by-step explanation:
(5)
Using the trigonometric identity
sin²x + cos²x = 1 ⇒ cos²x = 1 - sin²x
Given
3sin²Θ + 2cos²Θ - 2
= 3sin²Θ + 2(1 - sin²Θ) - 2
= 3sin²Θ + 2 - 2sin²Θ - 2
= sin²Θ
(6)
Using the trigonometric identity
secx =
Consider the left side
=
= = secx = right side ⇒ verified
(7)
Using the trigonometric identity
1 + cot²x = csc²x
Given
sin²x. cot²x + sin²x ← factor out sin²x from each term
= sin²x(cot²x + 1)
= sin²x. csc²x
= sin²x × = 1
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Rewrite the given equation as
.
Since
, you can conclude that the imimum value of y will be gained for the minimum value of 
. The minimum value of is 0 for x=2.
So, y(2)=0+4=4.
Answer: minimum value of y is 4, when x=2.
Since
So, y(2)=0+4=4.
Answer: minimum value of y is 4, when x=2.
The total length of the fence is 48 m if the rectangular swimming pool measures 7.5 m by 4.5 m.
<h3>What is rectangle?</h3>It is defined as the two-dimensional geometry in which the angle between the adjacent sides are 90 degree. It is a type of quadrilateral.
It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
It is given that:
A rectangular swimming pool measures 7.5 m by 4.5 m.
It is completely surrounded by a fence parallel to each edge of the pool and at a distance of 3 m from each edge of the pool.
The total length of the fence = 2(7.5+3×2 + 4.5+3×2)
The total length of the fence = 2(7.5+6 + 4.5+6)
The total length of the fence = 2(24)
The total length of the fence = 48 m
Thus, the total length of the fence is 48 m if the rectangular swimming pool measures 7.5 m by 4.5 m.
Learn more about the rectangle here:
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