Math, asked by akbk43609, 1 month ago

tan 20° + tan 40°+✓3tan20° tan40° is equal to ?​

Answers

Answered by simrankerketta007
3

Heya mate!!

Answer:

√3

Step-by-step explanation:

tan 20° + tan 40°+✓3tan20° tan 40°

=tan 60°(1-tan 20°tan 40°)+tan 60°+tan 20° tan 40°[using tan 60=tan 20+tan 40/1- tan 20 tan 40 and tan 60°=√3]

=tan 60°-tan 60° tan 20° tan 40°+tan 60°tan 20°tan 40°

=tan 60°

=√3

hope it's helpful to you ☺️

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