write the value of tan (2tan-1(1/5)
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we have to find:
the value of tan( 2 tan-¹ 1/5 ) = ?
solution:-
we know that:-
2tan -¹ x = tan-¹ {2x /(1-x²) }
here,
tan( 2 tan-¹ 1/5 )
= tan [ tan-¹ {2×1/5 / (1- 1²/5² ) } ]
=> tan [ tan-¹ 2/5 / (1-1/25) ]
=> tan [ tan-¹ (2/5 ) / (24/25) ]
=> tan [ tan-¹ 10/24 ]
=> tan[tan-¹ 5/12 ]
=> 5/12
..=> tan( 2 tan-¹ 1/5 ) = 5/12 Answer
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⭐✡ hope it helps ✡⭐
¢¢¢¢¢¢¢¢¢¢¢¢¢¢¢¢¢¢¢¢¢¢¢¢¢¢¢¢¢¢¢¢
we have to find:
the value of tan( 2 tan-¹ 1/5 ) = ?
solution:-
we know that:-
2tan -¹ x = tan-¹ {2x /(1-x²) }
here,
tan( 2 tan-¹ 1/5 )
= tan [ tan-¹ {2×1/5 / (1- 1²/5² ) } ]
=> tan [ tan-¹ 2/5 / (1-1/25) ]
=> tan [ tan-¹ (2/5 ) / (24/25) ]
=> tan [ tan-¹ 10/24 ]
=> tan[tan-¹ 5/12 ]
=> 5/12
..=> tan( 2 tan-¹ 1/5 ) = 5/12 Answer
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⭐✡ hope it helps ✡⭐
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