JEE Main & Advanced
Mathematics
Trigonometric Identities
Question Bank
Numerical Value Type Questions - Trigonometric Functions
question_answer
If \[si{{n}^{4}}\alpha +4{{\cos }^{4}}\beta +2=4\sqrt{2}\sin \alpha \cos \beta ;\]\[\alpha ,\beta \in [0,\pi ],\] and \[\cos (\alpha +\beta )-cos(\alpha -\beta )=-\sqrt{a},\] then a is