Question

Find all solutions of the equation cos(2x+pi/4)=cos(x) in the interval [0,2pi)

Answer #1

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Problem 15:
Find the taylor series for f (x) = cos (2x) around x = pi/4, and
find its interval and radius of convergence.

1.Find all solutions on the interval [0, 2π)
csc (2x)-9=0
2. Rewrite in terms of sin(x) and cos(x)
Sin (x +11pi/6)

Find all local extrema and the intervals on which
f(x)=x+sin(2x), considered on the interval (-pi/2,pi/2) is
increasing or decreasing.?

Find the equation of the tangent line to y= cos x at x= pi/2

1) In the interval [0,2π) find all the solutions possible (in
radians ) :
a) sin(x)= √3/2
b) √3 cot(x)= -1
c) cos ^2 (x) =-cos(x)
2)The following exercises show a method of solving an equation
of the form: sin( AxB C + ) = , for 0 ≤ x < 2π . Find ALL
solutions .
d) sin(3x) = - 1/2
e) sin(x + π/4) = - √2 /2
f) sin(x/2 - π/3) = 1/2

determine the equation of tangent line to the graph of
y=tan(1/2x)+xcot(2x+pi/4) at x=pi/2

a. *Find all solutions to the equation cos(5x – 3) = ½
.
b. *The position, p, of an object in meters after t seconds is
given by:
pt=23-4t+((t^2)/20)
.
Estimate (to the nearest 0.01 m/sec)
the object’s average velocity over the time interval [0,50]?
c. If x=2 square root
(x)+9/x+x/5
, then find f ‘(x).

a.
find all possible EXACT solutions for 2sin (3x) + sqrt3 = 0
b. find all exact solutions of 3cos(2x) + 5sin(x)=-1 on
[0,2pi)

Find all solutions to the equation cos ?z2 + 1? = i.

solve the equation in interval [0,2pi) for
3sin^2delta-7sindelta+4=0

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