+
Find the value of theta
root 3cot theta =1
ak60803311:
Theta = to 60
Answers
Answered by
1
√
3
cot
(
θ
)
−
1
=
0
Add
1
to both sides of the equation.
√
3
cot
(
θ
)
=
1
Divide each term by
√
3
and simplify.
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cot
(
θ
)
=
√
3
3
Take the inverse cotangent of both sides of the equation to extract
θ
from inside the cotangent.
θ
=
arccot
(
√
3
3
)
The exact value of
arccot
(
√
3
3
)
is
π
3
.
θ
=
π
3
The cotangent function is positive in the first and third quadrants. To find the second solution, subtract the reference angle from
π
to find the solution in the fourth quadrant.
θ
=π
+
π
3
Simplify
π
+
π
3
.
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θ
=
4
π
3
Find the period.
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π
The period of the
Answered by
3
Step-by-step explanation:
root 3 cot theta = 1
cot theta = 1 / root 3
cot theta = cot 60°
therefore...
theta = 60°
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