SOLUTION: Simplify: cscA(sinA+cscA)

Algebra ->  Trigonometry-basics -> SOLUTION: Simplify: cscA(sinA+cscA)      Log On


   

Question 882736: Simplify: cscA(sinA+cscA)
Answer by Leaf W.(135) About Me  (Show Source):
You can put this solution on YOUR website!
csc(A) * [sin(A) + csc(A)]
*
Distribute the csc(A): csc%28A%29+%2A+sin%28A%29+%2B+%28csc%28A%29%29%5E2
*
Since csc(A) = 1%2Fsin%28A%29, you can simplify:
1%2Fsin%28A%29+%2A+sin%28A%29+%2B+%28csc%28A%29%29%5E2
1+%2B+%28csc%28A%29%29%5E2
*
Therefore, the simplified answer is 1+%2B+%28csc%28A%29%29%5E2