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10th Class Mathematics Introduction to Trigonometry Question Bank Trigonometry

  • question_answer
    Which of the following is equal to a\[\left( 1+ta{{n}^{2}}\theta  \right)\]\[\left( 1-sin\theta  \right)\left( 1+sin\theta  \right)\left( 1+cos\theta  \right)\left( 1-cos\theta  \right)\]\[\left( 1+co{{t}^{2}}\theta  \right)\]?

    A)  1    

    B)  2            

    C)  3                                

    D)  4

    Correct Answer: A

    Solution :

    (a):\[\left( {{\sec }^{2}}\theta  \right)\times \left( 1-{{\sin }^{2}}\theta  \right)\left( 1-{{\cos }^{2}}\theta  \right)\left( \cos e{{c}^{2}}\theta  \right)\] \[={{\sec }^{2}}\theta \times {{\cos }^{2}}\theta \times {{\sin }^{2}}\theta \times \cos e{{c}^{2}}\theta =1\]                      


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