Step-by-step Solution

Solve the trigonometric equation $\csc\left(2x\right)-2=0$

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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.

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

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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.

Final Answer

$x=\frac{1}{12}\pi+\pi n,\:x=\frac{5}{12}\pi+\pi n$
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9
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:

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

Time to solve it:

~ 0.07 s

Related topics:

Trigonometric Equations