Thomas went to the store to buy a couple of items for his mother at the store. He purchased a gallon
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The maximum possible measurement is 1.25 Kg and the minimum possible measurement is 1.15 kg
<u>Solution:</u>
Given mass of an ostrich egg is 1.2 Kg
We have to find the minimum and maximum possible measurements to the nearest tenth of a kilogram
The greatest possible error in measurement nearest tenth of a kilogram, is a half a tenth of a kilogram which is:-
Now, the maximum value will be equal to calculated amount plus the error in measurement of value .i.e.
Now, the minimum value will be equal to calculated amount minus the error in measurement of value .i.e.
Hence, maximum possible measurement is 1.25 Kg
And the minimum possible measurement is 1.15 kg
We can draw a unit circle as:
The sine is the vertical leg (or vertical projection) of the triangle formed by the angle.
The cosine will be the horizontal leg (or horizontal projection) of this same triangle.
The hypotenuse of this triangle will be the radius if the unit circle (r = 1).
a) The sine will be increasing from θ = 0° until it reaches its maximum at 90°.
Then it will be decreasing for angles between 90° and 270°.
Between 270° and 0° it will be increasing again.
b) The cosine has a maximum value for an angle of 0°.
It will decrease until 180°.
Then it will be increasing from angles between 180° and 360°.
c) We can see in the unit circle that the sine is 0 when the angle is one the horizontal axis, like when θ = 0° or θ = 180°.
The cosine will be equal to 0 when the angle is vertical: θ = 90° and θ = 270°.
Answer:
a) Increasing: (0°, 90°) and (270°, 360°)
Decreasing: (90°, 270°)
b) Increasing: (180°, 360°)
Decreasing: (0°,180°).
c) Sin(θ) = 0 for θ = 0° and θ = 180°
Cos(θ) = 0 for θ = 90° and θ = 270°
