PLEASE HELP 20+ POINTS!! What is the cosine equation of the function shown?
1 answer:
Answer:
<u>Step-by-step explanation:</u>
y = A cos (Bx - C) + D
- A (amplitude) = max - D
- B = Period/2π ---> Period is the distance from max to next max
- C = B · Phase Shift ---> Phase shift is distance from y-axis to max
- D (vertical shift) = (max + min)/2
D = (max + min)/2 = (3 - 11)/3 = -4
A = max - D = 3 - (-4) = 7
Period = 9π/4 - π/4 = 8π/4 = 2π
B = Period/2π = 2π/2π = 1
Phase Shift = π/4 - 0 = π/4
C = B · Phase Shift = 1 · π/4 = π/4
Equation:
y = 7 cos (1·x - π/4) + (-4)
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Answer:
16.5mm to. 1 decimal place
Step-by-step explanation:
Please check attachment for diagrammatic representation of the triangle.
Since one of the angles of the triangle is 90, this means that we are dealing with a right angled triangle
To find the length of AC, we make use of pythagoras’ theorem which states that the square of the hypotenuse equals the sum of the square of the other two sides. The hypotenuse is the longest side of the triangle which we have as 17.88 mm
Mathematically therefore
17.8^2 = 6.6^2 + AC^2
AC^2 = 17.8^2 - 6.6^2
AC^2 = 283.28
AC = √(273.28)
AC = 16.53 mm
This is 16.5 to 1 decimal place
