if cot theta+cos theta=p, cot theta-cos theta=q then the value of p square- q square is

Asked by  | 22nd Jul, 2012, 09:59: PM

Expert Answer:

p2 - q2 = (cot A + cosA)2 - (cotA - cosA)2
= cot2A + cos2A + 2 cotA cosA - (cot2A + cos2A - 2 cotA cosA)
= cot2A + cos2A + 2 cotA cosA - cot2A - cos2A + 2 cotA cosA
= 4 cotA cosA
 
(A = theta)

Answered by  | 22nd Jul, 2012, 10:03: PM

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