SOLUTION: Prove that the equation is an identity: sinA(sinA + cotA) = 1 + cosA - cos^2 A Also, please show the steps if you could. It would be much appreciated. Thank you.

Algebra ->  Trigonometry-basics -> SOLUTION: Prove that the equation is an identity: sinA(sinA + cotA) = 1 + cosA - cos^2 A Also, please show the steps if you could. It would be much appreciated. Thank you.      Log On


   

Question 602464: Prove that the equation is an identity:

sinA(sinA + cotA) = 1 + cosA - cos^2 A
Also, please show the steps if you could. It would be much appreciated. Thank you.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
sinA(sinA + cotA) = 1 + cosA - cos^2 A
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On the left side:
sin^2 + sin(cos/sin)
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= 1-cos^2 + cos
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= 1 + cos - cos^2
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Cheers,
Stan H.