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Math Help - I want to explain the latest steps from this Q

  1. #1
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    I want to explain the latest steps from this Q

    Hi

    I want to explain the latest steps from this Q

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  2. #2
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    What does 50 - 20 equal?

    Edit: Your actual working out seems a bit backward.

    You are trying to use the identity

    \tan{(\alpha - \beta)} = \frac{\tan{\alpha} - \tan{\beta}}{1 + \tan{\alpha}\tan{\beta}}

    to simplify

    \frac{\tan{50^\circ} - \tan{20^\circ}}{1 + \tan{50^\circ}\tan{20^\circ}}.


    \frac{\tan{50^\circ} - \tan{20^\circ}}{1 + \tan{50^\circ}\tan{20^\circ}} = \tan{(50^\circ - 20^\circ)}

     = \tan{30^\circ}

     = \frac{1}{\sqrt{3}}

     = \frac{\sqrt{3}}{3}.
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  3. #3
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    thanks
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