SOLUTION: Prove the identity i) cotx - cot2x = cosec2x ii) Show that *integral* (with limit pi/4 and pi/6) cot x dx = 1/2 ln 2. iii) Find the exact value of *integral* (with limit pi/4

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Question 1206383: Prove the identity
i) cotx - cot2x = cosec2x
ii) Show that *integral* (with limit pi/4 and pi/6) cot x dx = 1/2 ln 2.
iii) Find the exact value of *integral* (with limit pi/4 and pi/6) cosec 2x dx, giving your answer in the form alnb.
Found 3 solutions by Edwin McCravy, mccravyedwin, AnlytcPhil:
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
i)



















Change the denominator back to sin(2x)





Edwin
Answer by mccravyedwin(408)   (Show Source): You can put this solution on YOUR website!
ii) Show that *integral* (with limit pi/4 and pi/6) cot x dx = 1/2 ln 2.





Edwin
Answer by AnlytcPhil(1807)   (Show Source): You can put this solution on YOUR website!
iii) Find the exact value of *integral* (with limit pi/4 and pi/6) cosec 2x dx, giving your answer in the form alnb.

Use the formula:










Edwin
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