If sin 65° = x, then tan 25º =
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tan25
∘
=x
L.H.S=
1+tan155
∘
tan115
∘
tan155
∘
−tan115
∘
=
1+tan(180−25)tan(90+25)
tan(180−25)−tan(90+25)
=
1+tan25cot25
−tan25+cot25
1+x/x
−x+1/x
=
2
−x
2
+1
=
2
1−x
2
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