Question

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)

Answer #1

(a) Rewrite the expression as an algebraic expression in x
tan(sin-1(x))
(b) Find sin(2x), cos(2x) and tan (2x) from the given
information
csc(x)=4, tan(x)<0

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

For the following exercises, find all exact solutions on [0,
2π)
23. sec(x)sin(x) − 2sin(x) = 0
25. 2cos^2 t + cos(t) = 1
31. 8sin^2 (x) + 6sin(x) + 1 = 0
32. 2cos(π/5 θ) = √3

1, Solve cos(x)=0.17cos(x)=0.17 on 0≤x<2π0≤x<2π
There are two solutions, A and B, with A < B
2, Find the EXACT value of cos(A−B)cos(A-B) if sin A = 3434, cos
A = √7474, sin B = √91109110, and cos B = 310310.
cos(A−B)cos(A-B) =
3,
Find all solutions of the equation 2cosx−1=02cosx-1=0 on
0≤x<2π0≤x<2π
The answers are A and B, where A<BA<B
A=? B=?

PLEASE SOLVE ALL 8 QUESTIONS SHOWING STEP-BY-STEP
SOLUTIONS.
Solve for the unknown variable on the interval 0 is (less than
or equal to) x (less than or equal to) 2pi.
1. 4 cos^2 x - 3 =0
2. Square root of 2 sin 2x = 1
3. 3cot^2 x-1 = 0
4. cos^3 x = cos x
5. sin x - 2sin x cos x = 0
6. 2sin^2 x- sin x-3 = 0
7. csc^2 x- csc x -...

Let f(x)=sin x-cos x,0≤x≤2π
Find all inflation point(s) of f.
Find all interval(s) on which f is concave downward.

Solve
5cos(2x)=5cos2(x)−15cos(2x)=5cos2(x)-1
for all solutions 0≤ x <2π

Suppose you know that f′(x) = x sin(2x) − sin(2x). Find the
x-coordinates of all local maximums of f in the interval (0,
2π).

1.Given cos(x) = 1/6 with 3π/2 < x < 2π. Find
the value of cos(2x).
2. which of the following is equivalent to: (8sin(x) +
8 cos(x))^2?
3. which of the following is equivalent to:
12cos(-x)sin(-x)/tan(-x)cot(x+9π)

Consider the function on the interval (0, 2π). f(x) = sin(x)
cos(x) + 4. (A) Find the open interval(s) on which the function is
increasing or decreasing. (Enter your answers using interval
notation.) (B) Apply the First Derivative Test to identify all
relative extrema.

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