BCECE Engineering BCECE Engineering Solved Paper-2004

  • question_answer
    \[\text{tan 1}{{\text{0}}^{\text{o}}}\text{+tan 3}{{\text{5}}^{\text{o}}}\text{+tan 1}{{\text{0}}^{\text{o}}}\text{ tan 3}{{\text{5}}^{\text{o}}}\]is equal to:

    A)  0            

    B)                         \[\frac{1}{2}\]                  

    C)  \[-1\]                   

    D)         1

    Correct Answer: D

    Solution :

    Now, \[\tan ({{10}^{o}}+{{35}^{o}})=\frac{\tan {{10}^{o}}+\tan {{35}^{o}}}{1-\tan {{10}^{o}}+\tan {{35}^{o}}}\] \[\Rightarrow \]               \[\tan {{45}^{o}}=1=\frac{\tan {{10}^{o}}+\tan {{35}^{o}}}{1-\tan {{10}^{o}}\tan {{35}^{o}}}\] \[\Rightarrow \]\[\tan {{10}^{o}}+\tan {{35}^{o}}+\tan {{10}^{o}}\tan {{35}^{o}}=1\]


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