Question

3.Solve the given equation. (Enter your answers as a
comma-separated list. Let *k* be any integer. Round terms to
three decimal places where appropriate. If there is no solution,
enter NO SOLUTION.)

2 sin^{2}(*θ*) − cos(*θ*) = 1

#### I need the answer in the format 2pik + 5pi/6, 2pik+3pi/2....etc

Answer #1

Solve the given equation. (Enter your answers as a
comma-separated list. Let k be any integer. Round terms to
three decimal places where appropriate. If there is no solution,
enter NO SOLUTION.)
2 sin(2θ) − 3 sin(θ) = 0
#### I need the answer in the format 2pik + 5pi/6,
2pik+3pi/2....etc

Solve the given equation. (Enter your answers as a
comma-separated list. Let k be any integer. Round terms to three
decimal places where appropriate. If there is no solution, enter NO
SOLUTION.) 5 sin(2θ) − 6 sin(θ) = 0

Find the critical numbers of the function. (Enter your answers
as a comma-separated list. Use n to denote any arbitrary
integer values. If an answer does not exist, enter DNE.)
f(θ) = 4 cos(θ) + 2 sin2(θ)

Solve the equation. (Enter your answers as a comma-separated
list. Use n as an integer constant. Enter your response in
radians.)
2
2
csc x − 1 = 0
x =

Solve the equation. (Enter your answers as a comma-separated
list. Use n as an integer constant. Enter your response in
radians.)
2 sec(x) csc(x) = 4 csc(x)

Solve the equation by completing the square. (Enter your answers
as a comma-separated list.)
x2 = −4x − 53
Solve the quadratic inequality. (Enter your answer using
interval notation. If there is no solution, enter NO SOLUTION.)
x2 − 8x > −12
Solve the equation by factoring. (Enter your answers as a
comma-separated list.)
125x = 5x3

Solve. (Enter your answers as a comma-separated list. If there
are infinitely many solutions, enter a parametric solution. If
there is no solution, enter NONE.)
40x + 5y = 30
6x − 3y = 12
34x + 8y = 18
(x, y) = ( )

Find the solution of the exponential equation (Enter your
answers as a comma-separated list.) 3^(2x − 1) = 1

Solve the following system of equations. (Enter your answers as
a comma-separated list. If there are infinitely many solutions,
enter a parametric solution using t and/or s. If
there is no solution, enter NONE.)
2x
−
10y
−
18z
=
35
-4x
+
20y
+
36z
=
-48
(x, y, z) = ( )

Solve for x. (Enter your answers as a comma-separated list.)
ln(x) + ln(x + 4) = 0

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