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10th Class Mathematics Introduction to Trigonometry Question Bank Trigonometry

  • question_answer
    If \[\frac{\cos \,\,20{}^\circ }{\sin \,\,70{}^\circ }+\frac{2\,\cos \theta }{\sin (90{}^\circ -\theta )}=\frac{k}{2}\], what is the value of k?

    A)  4                                

    B)  5           

    C)  6      

    D)  1

    Correct Answer: C

    Solution :

    (c):        \[\frac{\sin 70{}^\circ }{\sin 70{}^\circ }+\frac{2\cos \theta }{\cos \theta }=\frac{k}{2}\] \[\Rightarrow \]   \[1+2=\frac{k}{2}\] \[\Rightarrow \]   \[6=k\]                         


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