SOLUTION: SIMPLIFY 1/(csc(A-1)) + 1/(csc(A+1))

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Question 1153565: SIMPLIFY 1/(csc(A-1)) + 1/(csc(A+1))
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!

1%2F%28csc%28A-1%29%29+%2B+1%2F%28csc%28A%2B1%29%29.......use identity csc%28x%29=+1%2Fsin%28x%29
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=1%2F%281%2Fsin%28A-1%29%29+%2B+1%2F%281%2Fsin%28A%2B1%29%29

=sin%28A-1%29+%2B+sin%28A%2B1%29...........use identity sin%28A-1%29=sin%28A%29+cos%281%29+-+cos%28A%29+sin%281%29 and sin%28A%2B1%29=sin%28A%29+cos%281%29+%2B+cos%28A%29+sin%281%29

=...simplify

=

=sin%28A%29+cos%281%29+%2Bsin%28A%29+cos%281%29+

=2sin%28A%29+cos%281%29+