prove that(cosecA-cotA)^2=1-cosA/1+cosA
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Answer:
Step-by-step explanation:
(
cot
A
−
csc
A
)
2
=
1
−
cos
A
1
+
cos
A
cot
2
A
−
2
cot
A
csc
A
+
csc
2
x
=
1
−
cos
A
1
+
cos
A
cos
2
A
sin
2
A
−
2
cos
A
sin
2
A
+
1
sin
2
A
=
1
−
cos
A
1
+
cos
A
cos
2
A
−
2
cos
A
+
1
sin
2
A
=
1
−
cos
A
1
+
cos
A
cos
2
A
−
2
cos
A
+
1
1
−
cos
2
A
=
1
−
cos
A
1
+
cos
A
(
1
−
cos
A
)
(
1
−
cos
A
)
(
1
+
cos
A
)
(
1
−
cos
A
)
=
1
−
cos
A
1
+
cos
A
1
−
cos
A
1
+
cos
A
=
1
−
cos
A
1
+
cos
A
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