Tan = opposite / adjacent
tan 74 = 24/7
Answer:
Q13. y = sin(2x – π/2); y = - 2cos2x
Q14. y = 2sin2x -1; y = -2cos(2x – π/2) -1
Step-by-step explanation:
Question 13
(A) Sine function
y = a sin[b(x - h)] + k
y = a sin(bx - bh) + k; bh = phase shift
(1) Amp = 1; a = 1
(2) The graph is symmetrical about the x-axis. k = 0.
(3) Per = π. b = 2
(4) Phase shift = π/2.
2h =π/2
h = π/4
The equation is
y = sin[2(x – π/4)} or
y = sin(2x – π/2)
B. Cosine function
y = a cos[b(x - h)] + k
y = a cos(bx - bh) + k; bh = phase shift
(1) Amp = 1; a = 1
(2) The graph is symmetrical about the x-axis. k = 0.
(3) Per = π. b = 2
(4) Reflected across x-axis, y ⟶ -y
The equation is y = - 2cos2x
Question 14
(A) Sine function
(1) Amp = 2; a = 2
(2) Shifted down 1; k = -1
(3) Per = π; b = 2
(4) Phase shift = 0; h = 0
The equation is y = 2sin2x -1
(B) Cosine function
a = 2, b = -1; b = 2
Phase shift = π/2; h = π/4
The equation is
y = -2cos[2(x – π/4)] – 1 or
y = -2cos(2x – π/2) - 1
Answer: 11
Step-by-step explanation:
$140.80. The last part was a little tricky at first and then i relised that it was $7 an hour
Answer:
There are four addition properties that help to add whole numbers :
For any whole number a, b, and c ;
1. <u>Closure property of addition </u>- 
For example:
2+3=5
4+3=7
We can conclude that if we add any two whole number , we get another whole number.
2. <u>Associative property of addition</u>- when any whole number or variable are added, then that can be grouped in different way without changing result
For example:
2+(3+4)=(2+3)+4
3.<u> </u><u>Commutative property of addition</u>- when any whole number or variable are added, then the order changed without changing the result.
For example: 2+3=3+2
4. <u>Identity property of addition</u>- when 0 is added to a whole number or variable , the result is the same variable or number.
For example: 3+0=0+3
0 is called an Identity for addition of whole numbers.
