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Question: How can I simply the trig functions in expansion of Legendre

Question:How can I simply the trig functions in expansion of Legendre

Old-Ant 10 Maple
simplify trig legendre
June 15 2015
2

When I do simplify(LegendreP(n, 1, cos(t))), Maple gives me -sqrt(1-cos(t))*sqrt(cos(t)+1). Isn't it the same thing as -sin(t)? How can I have Maple further convert/simplify it to -sin(t)? (I tried simplify(%, trig) but it didn't work). I am new on Maple. Thanks in advance for anyone's help!

 
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