Question

If sin theta plus cos theta equals 2 then sin power 2018 theata plus cos power 2018 theata equeal to how mouch.

Answer 1

Thank you for asking this question. Here is your answer:

sin∅ +cosec∅ =2  

sin∅ + 1/sin∅ =2

sin²∅ +1 = 2sin∅  

sin²∅ -2sin∅ +1 =0

(sin∅ -1)² =0

sin∅ = 1  

hence ,  

cosec∅ = 1  

now,  

sinⁿ∅ + cosecⁿ∅ = (1)ⁿ + (1)ⁿ =1 + 1 =2

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