SOLUTION: How to establish this identity? Cos(theta)(tan(theta) + cot(theta)) = csc(theta) Which side do I work on the left? And how do I simplify it?

Question 433434: How to establish this identity? Cos(theta)(tan(theta) + cot(theta)) = csc(theta)
Which side do I work on the left? And how do I simplify it?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
How to establish this identity? Cos(theta)(tan(theta) + cot(theta)) = csc(theta)
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You can work on either or both sides.
Cos(theta)(tan(theta) + cot(theta)) = csc(theta)
Change it all to sines & cosines
Cos*(sin/cos + cos/sin) = 1/sin
sin + cos^2/sin = 1/sin
Multiply by sine
sin^2 + cos^2 = 1

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