SOLUTION: I'm having a very hard time with this question, can somebody please help me! The question is: Prove the identity of: sinx + sinx cot^2x=cscx Thankyou!

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Question 393289: I'm having a very hard time with this question, can somebody please help me!
The question is:
Prove the identity of:
sinx + sinx cot^2x=cscx
Thankyou!
Found 2 solutions by stanbon, Alan3354:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Prove the identity of:
sinx + sinx cot^2x=cscx
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factor the left side to get:
sin(x)[1+cot^2(x)] = csc(x)
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Since 1+cot^2(x) = csc^2(x) you get:
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sin(x)[csc^2(x)] = csc(x)
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sin(x){1/sin^2(x)] = csc(x)
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1/sin(x) = csc(x)
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csc(x) = csc(x)
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Cheers,
Stan H.

Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
Prove the identity of:
sinx + sinx cot^2x=cscx
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Change everything to sin and cos.
sin + sin(cos^2/sin^2) = 1/sin
sin + cos^2/sin = 1/sin
sin^2 + cos^2 = 1