Question
In: Math
solve each equation find all solutions in the interval 0 2π) leave your answers in the...
solve each equation find all solutions in the interval 0 2π) leave your answers in the exact form.
a) sin θ = cos(2θ)
b) sin (2θ) + cos(2θ) = √2/2
c) cos^3 + cos^2 - 3 cosθ - 3 = 0
d) sin 5x - sin 3x = cos 4x
e)sin(3x) + sin^2(x) + cos^2(x) = tan^2(x) - sec^2(x)
Solutions
milcah answered 2 years agoRelated Solutions
Solve the following equation, giving the exact solutions which lie in [0, 2π). (Enter your answers...
Solve the following equation, giving the exact solutions which
lie in [0, 2π). (Enter your answers as a comma-separated list.)
cos(4x) = cos(2x)
For exercise 10, find all solutions exactly on the interval 0 ≤ θ < 2π. 10....
For exercise 10, find all solutions exactly on the
interval 0 ≤ θ < 2π.
10. cot x + 1 = 0
For the following exercises, solve exactly on [0,
2π)
13. 2cos θ = √2
16. 2sin θ = − √3
19. 2cos(3θ) = −√2
22. 2cos (π/5 θ)= √3
An equation is given cos(theta/2) − 1 = 0 (a) Find all solutions of the equation.
An equation is given cos(theta/2) − 1 = 0
(a) Find all solutions of the equation.θ =
(b) Find the solutions in the interval [0, 2π).θ =
Use your graphing calculator to find the solutions to the following equation for 0° ≤ θ...
Use your graphing calculator to find the solutions to the
following equation for
0° ≤ θ < 360°
by defining the left side and right side of the equation as
functions and then finding the intersection points of their graphs.
Make sure your calculator is set to degree mode. (Round your
answers to one decimal place. Enter your answers as a
comma-separated list. If there is no solution, enter NO
SOLUTION.)
3 sin2 θ + 1 = 5 sin θ
Use stars and bars to solve each counting problem. You may leave your answers as binomial...
Use stars and bars to solve each counting problem. You may leave
your answers as binomial coefficients.
(a) How many collections of 6 (not necessarily distinct) coins
can be made from an infinite supply of pennies, nickels, dimes, and
quarters?
(b) A social security number is a sequence of 9 digits. How many
social security numbers are there n1n2n3 . . . n9 such that ni ≤
ni+1 for i = 1 to 8? For example, 024455888 would count but...
Use stars and bars to solve each counting problem. You may leave your answers as binomial...
Use stars and bars to solve each counting problem. You may leave
your answers as binomial coefficients.
(a) How many collections of 6 (not necessarily distinct) coins
can be made from an infinite supply of pennies, nickels, dimes, and
quarters?
(b) A social security number is a sequence of 9 digits. How many
social security numbers are there
n1n2n3 . . . n9
such that ni ≤ ni+1 for i = 1 to 8?
For example, 024455888 would count but...
Consider the function on the interval (0, 2π). f(x) = sin(x) cos(x) + 2 (a) Find...
Consider the function on the interval (0, 2π).
f(x) = sin(x) cos(x) + 2
(a) Find the open interval(s) on which the function is
increasing or decreasing. (Enter your answers using interval
notation.)
increasing
( )
decreasing
( )
(b) Apply the First Derivative Test to identify all relative
extrema.
relative maxima
(x, y) =
(smaller x-value)
(x, y) =
( )
(larger x-value)
relative minima
(x, y) =
(smaller x-value)
(x, y) =
...
Consider the function on the interval (0, 2π). f(x) = sin(x)/ 2 + (cos(x))^2 (a) Find...
Consider the function on the interval (0, 2π). f(x) = sin(x)/ 2
+ (cos(x))^2 (a) Find the open intervals on which the function is
increasing or decreasing. (Enter your answers using interval
notation.) increasing decreasing (b) Apply the First Derivative
Test to identify the relative extrema. relative maximum (x, y) =
relative minimum (x, y) =
Find all solutions of the equation x^{5}=2
Find all solutions of the equation x^{5}=2
Find the eigenvalues of the problem: y'' + λy = 0, 0 < x < 2π,...
Find the eigenvalues of the problem:
y'' + λy = 0, 0 < x < 2π, y(0) = y(2π), y' (0) =
y'(2π)
and one eigenfunction for each eigenvalue.
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