Question

Sin 50 degree /cos 40 degree + cosec 40 degree /sec 50 degree - 4 cos 50 degree cosec 40 degree

Answer 1

here is your answer

sin50/cos40 + cosec40/sec50 - 4cos50. cosec40

sin [90-40]/ cos40  +  cosec[90-50]/sec50  -  4cos[90-40] . cosec 40

cos40/cos40  +  sec50/sec50  -  4cosec40 . cosec40
    
        1             +          1            -   4 cosec²40

                        2                       -    4 cosec²40

                                        -2 cosec²40
hope it helps you!!