Question

q. no 75 please .
solve with proper steps

Answer 1

2
sin©=max 1
cosec©= max 1
then sin©+cosec©= 2

1^2016+ 1^2016
1+1
2

Answer 2

We take-

=> Sin x + cosec x=2

=> Sin x + 1/sin x = 2

=> Sin^2 x + 2sin x + 1 = 0 ( we eliminated the denominator sin x) in this step

=> Sin x= 1

We proved-

=> Sin^n x +cosec^n x = 1^n + 1^n = 2

Now, according to the question

Sin^2016 x + cosec^2016 x = 1 + 1

[ Which leaves us with the answer _ 2 _ ]