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Mathematics
Mathematics
Problem
Solve the tangent equation
tan
x
2
=
3
\tan \dfrac{x}{2} = \sqrt{3}
tan
2
x
=
3
. a. (i) Write the general solution for
x
2
\dfrac{x}{2}
2
x
that satisfies
tan
x
2
=
3
\tan \dfrac{x}{2} = \sqrt{3}
tan
2
x
=
3
. b. (ii) Hence, obtain the general solution for
x
x
x
. c. (iii) Determine all solutions of
x
x
x
, in degrees, that satisfy
−
180
∘
<
x
≤
180
∘
-180^{\circ} < x \le 180^{\circ}
−
18
0
∘
<
x
≤
18
0
∘
."
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