Math, asked by viper18062005, 3 months ago

If tan 20° = lamda, then show that
tan 160° - tan 110°
1 + tan 160°.tan 110°
1-lamda2
2lamda

Answers

Answered by farhaanaarif84

1

Answer:

Given tan20

∘

=λ

tan40

∘

=tan2(20

∘

)=

1−tan

2

20

∘

2tan20

∘

=

1−λ

2

2λ

LHS=

1+tan160

∘

tan110

∘

tan160

∘

−tan110

∘

=tan(160

∘

−110

∘

)=tan50

∘

=tan(90

∘

−40

∘

)=cot40

∘

=

tan40

∘

1

=

2λ

1−λ

2

=RHS

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