tan? A 2 A Prove that + cot2 1+cot²n =1
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Answer:
1+tan
2
A
tan 2
+
1+cot
2
A
cot 2
Using the identites:
1+
tan 2
sec 2
and
1+
cot 2
csc 2
:
=
sec 2 A
tan 2 A
+
csc 2 A
cot 2 A
=
cos 2
1
cos 2 A
sin 2 A
+
sin 2
1
sin 2 A
cos 2 A
=
sin 2
cos 2
=
1
=
RHS
Hence proved.
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