Hi there!
We are given:
cos(7x)cos(4x) = -1 - sin(7x)sin(4x)
Begin by moving all terms with variables to one side:
cos(7x)cos(4x) + sin(7x)sin(4x) = -1
The corresponding trig identity is cos(A - B). Thus:
cos(7x - 4x) = cos(7x)cos(4x) + sin(7x)sin(4x) = -1
cos(3x) = -1
cos = -1 at π, so:
3x = π
x = π/3
We can also find another solution. Let 3π = -1:
3x = 3π
x = π
Thus, solutions on [0, 2π) are π/3 and π.
Answer:
<u>Options A , B and D</u>
Step-by-step explanation:
Tomas needs exactly 6 potatoes to make 12 pancakes
So, the rate will be 12/6 = 2
<u>We will check the options:</u>
A) Tomas needs exactly 12 potatoes to make 24 potato pancakes.
Rate = 24/12 = 2
B) Tomas needs exactly 18 potatoes to make 36 potato pancakes.
Rate = 36/18 = 2
C) Tomas needs exactly 24 potatoes to make 44 potato pancakes.
Rate = 44/24 = 1.833
D) Tomas needs exactly 30 potatoes to make 60 potato pancakes.
Rate = 60/30 = 2
E) Tomas needs exactly 36 potatoes to make 78 potato pancakes.
Rate = 78/36 = 2.1667
So, the answers are:
<u>Options A , B and D</u>
Answer:
1 and 2, 3 and 4, 5 and 6, 7 and 8
Step-by-step explanation:
Supplementary angles are angles that add up to 180°. Since 180° would basically be a straight line, those angles are supplementary
Answer:
Is Jack's mom trying to give him diabetes?
Step-by-step explanation:
