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!

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
---
factor the left side to get:
sin(x)[1+cot^2(x)] = csc(x)
---
Since 1+cot^2(x) = csc^2(x) you get:
---
sin(x)[csc^2(x)] = csc(x)
---
sin(x){1/sin^2(x)] = csc(x)
---
1/sin(x) = csc(x)
---
csc(x) = csc(x)
===================
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
-------------------------
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

RELATED QUESTIONS
I am having a hard time with this question. could somebody PLEASE!!!!!! HELP ME.... (answered by Paul)
I am having a hard time with a question on Exponents and roots. My question is this... (answered by longjonsilver)
Can you please help me solve this trigonometric identities question: 1)Prove the... (answered by jsmallt9)
Please Help me answer this question Prove the following equation is an identity... (answered by lwsshak3)
Hi can somebody please help me with this question. Im having a very hard time figuring it (answered by Fombitz)
I am having a hard time with this question, divide m^2 n^3 mp ------- by ------ (answered by ichudov)
I am having a hard time with this question can someone help me? My question is this What... (answered by longjonsilver)
Can you please help me with this problem I am having a very hard time with it. The... (answered by Earlsdon)
I am having a hard time with a question can someone help me ? My question is this In a... (answered by prince_abubu)