Prove that cos x+1−sin x /cos x+1+sin x = 1−sin x/cos x
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Please refer to the Explanation.
Explanation:
We have,
cos
x
1
−
sin
x
,
=
cos
x
1
−
sin
x
×
1
,
=
cos
x
1
−
sin
x
×
1
+
sin
x
1
+
sin
x
,
=
cos
x
(
1
+
sin
x
)
1
−
sin
2
x
,
=
cos
x
(
1
+
sin
x
)
cos
2
x
,
=
1
+
sin
x
cos
x
,
=
1
cos
x
+
sin
x
cos
x
,
=
sec
x
+
tan
x
, as desired!
Enjoy Maths.!
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