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JEE Main & Advanced Mathematics Trigonometric Identities Question Bank Numerical Value Type Questions - Trigonometric Functions

  • question_answer
    Let \[\alpha ,\beta \] be such that \[\pi <\alpha -\beta <3\pi \]. If \[\sin \alpha +\sin \beta =-\frac{21}{65}\] and \[\cos \alpha +\cos \beta =-\frac{27}{65}\] and if the value of \[\cos \frac{\alpha -\beta }{2}=\frac{-a}{\sqrt{b}},\] then \[a\times b=\]

    Answer:

    390


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