Question

sin48 × sec 42 + cos 48 × cosec 42 =2

Answer 1

sec 42 = cosec(90-42)=cosec48
similarly cosec 42=sec 48
sinA × cosec A=1
cosA *sec A=1
1+1=2hence proved

Answer 2

sin 48  x  sec 42 + cos 48  ×  cosec 42

sec 42=sec(90-48)                                                cosec(theta)=1/sin(theta)

          =cosecc48                                                     sec(theta)=1/cos(theta)

cosec 42=cosec(90-48)

                =sec (42)

Sin48 × cosec 42 + cos 48 × sec 42

=>1+1

=>2