sin x tan(x/2)+2 cos x=2/1+tan^2(x/2)
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Answer:
Explanation:
L
H
S
:
2
tan
(
x
2
)
1
+
tan
2
(
x
2
)
=
2
sin
(
x
2
)
cos
(
x
2
)
sec
2
(
x
2
)
-> use the property
1
+
tan
2
x
=
sec
2
x
=
2
sin
(
x
2
)
cos
(
x
2
)
1
cos
2
(
x
2
)
=
2
sin
(
x
2
)
cos
(
x
2
)
⋅
cos
2
(
x
2
)
1
=
2
sin
(
x
2
)
cos
(
x
2
)
⋅
cos
2
(
x
2
)
1
=
2
sin
(
x
2
)
cos
(
x
2
)
=
sin
2
(
x
2
)
->use the property
sin
2
x
=
2
sin
x
cos
x
=
sin
2
(
x
2
)
=
sin
x
=
R
H
S
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