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Shruti
Shruti asked in Science & MathematicsMathematics · 7 years ago

if a+b+c=π then tan 10a + tan 10 b + tan 10 c= ? Pls explain me how to solve this.?

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  • Anonymous
    7 years ago
    Favorite Answer

    we know that a+b+c=π

    So Tan(a+b)=Tan(π-c)

    Since Tan(π-c)=-Tanc

    Expand

    (Tana+Tanb)/1-Tana*Tanb=-Tanc

    Tana+Tanb=-Tanc+Tana*Tanb*Tanc

    finally we can simplify to get

    Tana+Tanb+Tanc=Tana*Tanb*Tanc

    so then just substitute it to match the top

    tan 10a + tan 10 b + tan 10 c= Tan10a*Tan10b*Tan10c

    Please choose as best answer

    Hope it helps

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