Maths Homework - 10A1 - Due 02/12
1 answer:
Answer:
The answer is below
Step-by-step explanation:
a) To complete the table of values for y = 3x - 1, we substitute the value of x into the equation and find y.
For x = -2, y = 3(-2) - 1 = -7; For x = -1, y = 3(-1) - 1 = -4
For x = 0, y = 3(0) - 1 = -1; For x = 1, y = 3(1) - 1 = 2
For x = 2, y = 3(2) - 1 = 5; For x = 3, y = 3(3) - 1 = 8
x: -2 -1 0 1 2 3
y: -7 -4 -1 2 5 8
b) The graph is drawn using geogebra online graphing calculator.
c) From the graph, When x = 2.5, y = 6.5
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Answer:
a. 11/5 pi; -9/5 pi
Step-by-step explanation:
Coterminal angles are those which have a common terminal side. For example 30° is coterminal with −330° and 390° (see figure).
From the example we can see that the following expressions must be fulfilled:
positive angle - reference angle = 360°
reference angle - negative angle = 360°
where positive angle is 390°, reference angle is 30° and negative angle is -330°. In this problem reference angle is pi/5. Also, we have to change 360° for its equivalent in radians, i. e., 2 pi. So,
positive angle - pi/5 = 2 pi
positive angle = 2 pi + pi/5
positive angle = 11/5 pi
pi/5 - negative angle = 2 pi
negative angle = pi/5 - 2 pi
negative angle = -9/5 pi
