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  5. Introduction to Trigonometry

10th Class Mathematics Introduction to Trigonometry Question Bank Trigonometry

  • question_answer
    If \[\text{sin A+si}{{\text{n}}^{\text{2}}}\text{ A=1}\], find the value of the expression \[(co{{s}^{2}}A+co{{s}^{4}}A)\].

    A)  \[1\]                

    B)  \[\frac{1}{2}\]

    C)  \[2\]                            

    D)  \[3\]

    Correct Answer: A

    Solution :

    (a):       \[\sin A=1-{{\sin }^{2}}A={{\cos }^{2}}A\] \[\Rightarrow \]   \[{{\cos }^{2}}A+{{\cos }^{4}}A={{\cos }^{2}}A+{{\sin }^{2}}A=1\]      


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