1) Rewrite the given function in the form acos(4x) + bsin(4x). Enter the missing
ID: 2904828 • Letter: 1
Question
1) Rewrite the given function in the form acos(4x) + bsin(4x). Enter the missing coefficients as decimals accurate to within 0.001.
4sin(4x + 1.77) =
______cos(4x) + ______sin(4x)
2) Rewrite the given function in the form acos(2x) + bsin(2x). Enter the missing coefficients as decimals accurate to within 0.001.
3cos(2x ? 1.55) =
______cos(2x) + ______sin(2x)
6cos(7x) + 8sin(7x) =
_________cos(7x ?_______ )
4)Let f(x) = 4cos(5x) + 6sin(5x).
Find the maximum value f(x) attains and the point x closest to 0 where it attains its max (since the function is periodic, it attains its max every 2pi/5).
The maximum value of f(x) is __________
The value of x closest to 0 where this maximum is obtained is ______________
5)Find all values of x with -pi<x<pi such that 6cos(x) + 2sin(x) = -4.3. Enter your answers as decimals rounded to the nearest 0.001,
x=___________________________________ ( can have more than one answer)
1) Rewrite the given function in the form acos(4x) + bsin(4x). Enter the missing coefficients as decimals accurate to within 0.001. 4sin(4x + 1.77) = __cos(4x) + ______sin(4x) 2) Rewrite the given function in the form acos(2x) + bsin(2x). Enter the missing coefficients as decimals accurate to within 0.001. 3cos(2x ? 1.55) = ______cos(2x) + ______sin(2x) 3) Rewrite the given function in the form Acos(7x - phi), where A > 0 and -p1/2Explanation / Answer
Ans1)
______cos(4x) + ______sin(4x)
= 3.998 cos(4x) + 0.124 sin(4x)
Ans2)
______cos(2x) + ______sin(2x)
=2.999 cos(2x) + 0.081 sin(2x)
Ans3)
_________cos(7x ?_______ )
=10 cos(7x + 53.130 )
Ans4)
The maximum value of f(x) is 7.211
The value of x closest to 0 where this maximum is obtained is 0.2
Ans5)
x= -1.997, 2.64
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.