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Solve the trigonometric equation $\tan\left(2x\right)=1$

Step-by-step Solution

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e
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ln
log
log
lim
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sin
cos
tan
cot
sec
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asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

Final Answer

$x=\frac{1}{8}\pi+\frac{1}{2}\pi n,\:x=\frac{5}{8}\pi+\frac{1}{2}\pi n$
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Step-by-step Solution

Problem to solve:

$\tan\left(2x\right)=1$
1

The angles where the function $\tan\left(2x\right)$ is $1$ are

$2x=45^{\circ}+360^{\circ}n,\:2x=225^{\circ}+360^{\circ}n$

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

$2x=45^{\circ}+360^{\circ}n,\:2x=225^{\circ}+360^{\circ}n$

Unlock the first 3 steps of this solution!

Learn how to solve trigonometric equations problems step by step online. Solve the trigonometric equation tan(2x)=1. The angles where the function \tan\left(2x\right) is 1 are. Solve the equation (1). Divide both sides of the equation by 2. Expand the fraction \frac{45+180n}{2} into 2 simpler fractions with common denominator 2.

Final Answer

$x=\frac{1}{8}\pi+\frac{1}{2}\pi n,\:x=\frac{5}{8}\pi+\frac{1}{2}\pi n$
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Got another answer? Verify it!

Go!
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

Tips on how to improve your answer:

$\tan\left(2x\right)=1$

Time to solve it:

~ 0.05 s

Related topics:

Trigonometric Equations