Question

If sec theta+sin theta=2/3 then find sin theta

Answer 1

Answer:

sec theta + sin theta = 2/3

cosec(90-theta) + sin theta = 2/3

cosec theta + sin theta = 2/3

1/sin theta + sin theta = 2/3

sin theta + sin² theta/ sin theta = 2/3

sin theta ( 1 + sin theta ) / sin theta = 2/3

1 + sin theta = 2/3

sin theta = 2/3 - 1

sin theta = 2 - 3 /3

sin theta = -1/3

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