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

  • question_answer
    \[\sin 50{}^\circ -\sin 70{}^\circ +\sin 10{}^\circ =\] [MNR 1979]

    A) 1

    B) 0

    C) 1/2

    D) 2

    Correct Answer: B

    Solution :

    \[\sin \,\,{{50}^{o}}-\sin \,\,{{70}^{o}}+\sin \,\,{{10}^{o}}\] \[=-2\,\,\cos \,\,{{60}^{o}}\sin \,\,{{10}^{o}}+\sin \,\,{{10}^{o}}\] \[=\,\sin \,{{10}^{o}}\,(1-2\,\,\cos \,\,{{60}^{o}})=0.\]


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