JEE Main & Advanced Mathematics Trigonometric Identities Question Bank Trigonometrical ratios of sum and difference of two and three angles

  • question_answer
    The expression \[\frac{\cos 6x+6\cos 4x+15\cos 2x+10}{\cos 5x+5\cos 3x+10\cos x}\] is equal to

    A) \[\cos 2x\]

    B) \[2\cos x\]

    C) \[{{\cos }^{2}}x\]

    D) \[1+\cos x\]

    Correct Answer: B

    Solution :

    The given expression can be written as \[\frac{(\cos \,6x+\cos \,4x)+5\,(\cos \,4x+\cos \,2x)+10\,(\cos \,2x+1)}{\cos \,5x+5\,\cos \,3x+10\,\cos x}\] After solving, we get the required result i.e. \[2\,\cos x\].


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