Question

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=?

Answer #1

Solve 8cos2(x)+2cos(x)−3=08cos2(x)+2cos(x)-3=0 for all solutions
0≤x<2π0≤x<2π
and
Solve 6sin2(w)−cos(w)−5=06sin2(w)-cos(w)-5=0 for all solutions
0≤w<2π0≤w<2π

1.Solve sin(x)=−0.61sin(x)=-0.61 on 0≤x<2π0≤x<2πThere are
two solutions, A and B, with A < B
2.Solve 5cos(5x)=25cos(5x)=2 for the smallest three positive
solutions.Give your answers accurate to at least two decimal
places, as a list separated by commas
3.Solve 5sin(π4x)=35sin(π4x)=3 for the four smallest positive
solutions
4.Solve for tt, 0≤t<2π0≤t<2π
21sin(t)cos(t)=9sin(t)21sin(t)cos(t)=9sin(t)
5.Solve for the exact solutions in the interval [0,2π)[0,2π). If
the equation has no solutions, respond with DNE.
2sec2(x)=3−tan(x)
6.Give the smallest two solutions of sin(7θθ) = -0.6942 on [...

1.Solve 3cos(2α)=3cos2(α)−23cos(2α)=3cos2(α)-2 for all solutions
on the interval 0≤α<2π0≤α<2π
αα =
Give your answers accurate to at least 3 decimal places, as a list
separated by commas
2.Solve 7sin(2w)−5cos(w)=07sin(2w)-5cos(w)=0 for all solutions
on the interval 0≤w<2π0≤w<2π
ww =
Give your exact solutions if appropriate, or solutions accurate to
at least 3 decimal places, as a list separated by commas
3.Solve 7sin(2β)−2cos(β)=07sin(2β)-2cos(β)=0 for all solutions
0≤β<2π0≤β<2π
ββ =
Give exact answers or answers accurate to 3 decimal places, as
appropriate
4.Solve...

Solve 6cos2(t)+sin(t)−4=06cos2(t)+sin(t)-4=0 for all solutions
0≤t<2π0≤t<2π

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.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 solutions to 2 cos t = 0.35 for 0 ≤ t ≤ 2π Give
answers correct to 3 decimal places. Give answers in degrees.

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

Find all exact solutions on the interval
0 ≤ x < 2π.
(Enter your answers as a comma-separated list.)
cot(x) + 4 = 5
x=

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

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