sin(a)/1-cos(a)+tan(a)/1+cos(a)=cot(a)+sec(a)-cosec(a)
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Explanation:
sin
θ
1
−
cos
θ
+
tan
θ
1
+
cos
θ
=
sin
θ
(
1
+
cos
θ
)
(
1
−
cos
θ
)
(
1
+
cos
θ
)
+
tan
θ
(
1
−
cos
θ
)
(
1
+
cos
θ
)
(
1
−
cos
θ
)
=
sin
θ
(
1
+
cos
θ
)
1
−
cos
2
θ
+
tan
θ
(
1
−
cos
θ
)
1
−
cos
2
θ
=
sin
θ
(
1
+
cos
θ
)
sin
2
θ
+
sin
θ
(
1
−
cos
θ
)
cos
θ
sin
2
θ
=
1
+
cos
θ
sin
θ
+
1
−
cos
θ
cos
θ
sin
θ
=
1
sin
θ
+
cos
θ
sin
θ
+
1
cos
θ
sin
θ
−
1
sin
θ
=
csc
θ
+
cot
θ
+
sec
θ
csc
θ
−
csc
θ
=
sec
θ
csc
θ
+
cot
θ
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