Prove the following identities.
1+ sine
(sec Os+ tan )?
1-sine
Answers
Answered by
2
Step-by-step explanation:
Explanation:
1
−
sin
x
1
+
sin
x
=
(
sec
x
−
tan
x
)
2
Left Side :
=
1
−
sin
x
1
+
sin
x
=
1
−
sin
x
1
+
sin
x
⋅
1
−
sin
x
1
−
sin
x
=
1
−
2
sin
x
+
sin
2
x
1
−
sin
2
x
=
1
−
2
sin
x
+
sin
2
x
cos
2
x
=
1
cos
2
x
−
2
sin
x
cos
2
x
+
sin
2
x
cos
2
x
=
1
cos
2
x
−
2
⋅
1
cos
x
sin
x
cos
x
+
sin
2
x
cos
2
x
=
sec
2
x
−
2
sec
x
tan
x
+
tan
2
x
=
(
sec
x
−
tan
x
)
(
sec
x
−
tan
x
)
=
(
sec
x
−
tan
x
)
2
∴
=
Right Side
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