Math, asked by ashish9244, 9 months ago

(ii) tan 18° + tan 27° + tan 18°. tan 27° = 1​

Answers

Answered by abhi569
2

Answer:

True

Step-by-step explanation:

   We know,

⇒ tan45° = 1

⇒ tan( 18° + 27° ) = 1

     We know, tan( A + B ) = [ tanA + tanB ] / ( 1 - tanA.tanB )

⇒ [ tan18° + tan27° ] / [ 1 - tan18°.tan27° ] = 1

⇒ tan18° + tan27° = 1( 1 - tan18°.tan27° )

⇒ tan18° + tan27° = 1 - tan18°.tan27°

⇒ tan18° + tan27° + tan18°.tan27° = 1

   Hence proved

Answered by slata9100
3

Answer:

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