sin t + cos2 t / sin t =a) sin tb) csc tc) sec td) cos t
Question
sin t + cos2 t / sin t =a) sin tb) csc tc) sec td) cos t
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Solution
The given expression is sin t + cos^2 t / sin t.
First, we can break this down as follows:
= sin t + (1 - sin^2 t) / sin t (since cos^2 t = 1 - sin^2 t)
= sin t + 1/sin t - sin t
= 1/sin t
This is the definition of csc t.
So, the answer is b) csc t.
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