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Let’s check out your problem:
Solve:
tg
(
x
+
(
π
)
/
(
3
)
)
=
3
\text{tg}(x+(\pi)/(3))=\sqrt{3}
tg
(
x
+
(
π
)
/
(
3
))
=
3
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Math Problems
Precalculus
Solve radical equations
Full solution
Q.
Solve:
tg
(
x
+
(
π
)
/
(
3
)
)
=
3
\text{tg}(x+(\pi)/(3))=\sqrt{3}
tg
(
x
+
(
π
)
/
(
3
))
=
3
Set up the equation:
Step
1
1
1
: Set up the equation.
tg
(
x
+
(
π
3
)
)
=
3
\text{tg}(x + (\frac{\pi}{3})) = \sqrt{3}
tg
(
x
+
(
3
π
))
=
3
Recognize standard angle:
Step
2
2
2
: Recognize the standard angle whose tangent is
3
\sqrt{3}
3
.
\newline
The tangent of
π
3
\frac{\pi}{3}
3
π
is
3
\sqrt{3}
3
.
Set inside equal to
π
3
\frac{\pi}{3}
3
π
:
Step
3
3
3
: Set the inside of the tangent function equal to
π
3
\frac{\pi}{3}
3
π
.
x
+
(
π
3
)
=
π
3
x + \left(\frac{\pi}{3}\right) = \frac{\pi}{3}
x
+
(
3
π
)
=
3
π
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