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Math Help - Help me to solve thisTrigonometry problem

  1. #1
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    Help me to solve thisTrigonometry problem

    if K = \frac{cos 25.cos35}{sin10.sin20} then the value of cos10 = ?
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  2. #2
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    Quote Originally Posted by wizard654zzz View Post
    if K = \frac{cos 25.cos35}{sin10.sin20} then the value of cos10 = ?

    HI

    K=\frac{\frac{1}{2}[\cos 60+\cos 10]}{-\frac{1}{2}[\cos 30-\cos 10]}

    =\frac{\cos 60+\cos 10}{\cos 10-\cos 30}

    =\frac{\frac{1}{2}+\cos 10}{\cos 10-\frac{\sqrt{3}}{2}}

     <br />
\cos 10=\frac{k\sqrt{3}+1}{2(k-1)}<br />
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