Question

if sin theta + cosec theta = 2 then find sin to the power 15 - cosec to the
power 15 + 4 sin theta into cosec theta​

Answer 1

Step-by-step explanation:

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