# Step-by-step Solution

Go!
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## Step-by-step Solution

Problem to solve:

$\csc\left(2x\right)-2=0$

Learn how to solve trigonometric equations problems step by step online.

$\csc\left(2x\right)=2$

Learn how to solve trigonometric equations problems step by step online. Solve the trigonometric equation csc(2x)-2=0. We need to isolate the dependent variable x, we can do that by subtracting -2 from both sides of the equation. Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}. Take the reciprocal of both sides of the equation. The angles where the function \sin\left(2x\right) is \frac{1}{2} are.

$x=\frac{1}{12}\pi+\pi n,\:x=\frac{5}{12}\pi+\pi n$
SnapXam A2

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0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

### Tips on how to improve your answer:

$\csc\left(2x\right)-2=0$

### Main topic:

Trigonometric Equations

~ 0.07 s