10th Class Mathematics Introduction to Trigonometry Question Bank Introduction to Trigonometery

  • question_answer
    C is the centre of a circle of radius 3 units, and \[\theta \]is the angle as shown in the given figure. If \[\sin \theta +{{\cos }^{2}}\theta =\frac{{{x}^{2}}+1}{{{x}^{2}}}\],find the value of x.

    A)  2                                            

    B)  4   

    C)  6                            

    D)         8

    Correct Answer: A

    Solution :

     \[\frac{22}{7}\] (The angle subtended in the arc is half the angle subtended at the centre.) \[\pi \](Given) \[\text{4}0={{\text{2}}^{\text{3}}}\times \text{5}\]\[\text{6}0={{\text{2}}^{\text{2}}}\times \text{3}\times \text{5}\] \[\therefore \] \[={{2}^{2}}\times 3\times 5\times 2=120\]\[f(p)={{\text{p}}^{\text{3}}}+\text{6}{{\text{p}}^{\text{2}}}+\text{lip}+\text{6}\]\[f(p)\]\[p(x)={{x}^{2}}+3x-2\]


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