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

Step-by-step Solution

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Final answer to the problem

$x=\frac{1}{12}\pi+\pi n,\:x=\frac{5}{12}\pi+\pi n\:,\:\:n\in\Z$
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Step-by-step Solution

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1

We need to isolate the dependent variable , we can do that by simultaneously subtracting $-2$ from both sides of the equation

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

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

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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 , we can do that by simultaneously subtracting -2 from both sides of the equation. x+0=x, where x is any expression. The angles where the function \csc\left(2x\right) is 2 are. Solve the equation (1).

Final answer to the problem

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

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Function Plot

Plotting: $\csc\left(2x\right)-2$

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1
2
3
4
5
6
7
8
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

How to improve your answer:

Main Topic: Trigonometric Equations

A trigonometric equation is an equation in which one or more trigonometric ratios appear.

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