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Mathematics
Mathematics
Problem
Evaluate
Q
=
sin
(
60
∘
+
θ
)
−
sin
(
60
∘
−
θ
)
cos
(
60
∘
+
θ
)
+
cos
(
60
∘
−
θ
)
Q=\dfrac{\sin(60^{\circ}+\theta)-\sin(60^{\circ}-\theta)}{\cos(60^{\circ}+\theta)+\cos(60^{\circ}-\theta)}
Q
=
cos
(
6
0
∘
+
θ
)
+
cos
(
6
0
∘
−
θ
)
sin
(
6
0
∘
+
θ
)
−
sin
(
6
0
∘
−
θ
)
for
0
∘
<
θ
<
30
∘
0^{\circ}<\theta<30^{\circ}
0
∘
<
θ
<
3
0
∘
. a)
1
1
1
b)
tan
θ
\tan\theta
tan
θ
c)
cot
θ
\cot\theta
cot
θ
d)
1
3
tan
θ
\dfrac{1}{\sqrt3}\,\tan\theta
3
1
tan
θ
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