To write the function to show the weekly growth rate of population , we first find the weekly growth rate by dividing yearly growth rate by 52 ( as there are 52 weeks in an year)
Given function is ,
or
To convert in weekly growth rate , divide 0.016 by 52
So formula for weekly growth rate of population is
or
And the weekly growth rate =
Trigonometry is the branch of geometry that gives the relationship between the angles and sides of a triangle.
c) proof. if cos∅ = <em>, </em>then x = adjacent,
= hypotenuse
To solve for opposite, since it is a right angle triangle
=
+
=
+
=
+
-
opposite = y
xsin∅ = x =
ycos∅ =
Therefore xsin∅ = ycos∅
d) 41 sin∅ = 40
sin∅ = 40/41
solving for adjacent = 9
tan ∅ = opp/adj = 40/9
= 40/9 ÷
- 1 = 40/9 ÷ 1600/81 - 1
= 40/9 ÷ 1519/81 = 40/9 x 81/1519 = 360/1519
e) 1 - cos ∅ = 1/2
cos ∅ = 1 - 1/2 = 1/2
∅ = cos inverse of 0.5 = 60°
tan 60 =
= 3, sin 60 =
= 3/4
+ 4
= 3 + 4(3/4) = 3 + 3 = 6
Learn more about trigonometry: brainly.com/question/24349828
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