find cos(A/2) if cscA=3.471 and A is in quadrant-I

find the cosine of theta over 2 if the cosecant is 3.471 and theta is in quadrant I.
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2 Answers

csc(x)=3.471

csc=1/sine, so it become sine(x)=1/3.471=0.288101411

invers sine(0.28810141)=16.744324357532786 deg
by
csc (A) = 3.471

sin(A) = 1/csc(A) = 1/3.471

A = arcsin (1/3.471) = 16.74 degrees

Therefore, cos (A/2) = cos(16.74/2) = 0.9893
by

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