√1+sin x/√1-sinx=tan (π/4+x/2)
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Answer:
Explanation:
√
1
+
sin
x
1
−
sin
x
=
⎷
cos
2
(
x
2
)
+
sin
2
(
x
2
)
+
2
sin
(
x
2
)
cos
(
x
2
)
(
cos
2
(
x
2
)
+
sin
2
(
x
2
)
−
2
sin
(
x
2
)
cos
(
x
2
)
)
=
cos
(
x
2
)
+
sin
(
x
2
)
cos
(
x
2
)
−
sin
(
x
2
)
=
1
+
tan
(
x
2
)
1
−
tan
(
x
2
)
=
tan
(
π
4
)
+
tan
(
x
2
)
1
−
tan
(
π
4
)
tan
(
x
2
)
=
tan
(
π
4
+
x
2
)
Step-by-step explanation:
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