Question
Sun July 22, 2012 By:
 

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

Expert Reply
Sun July 22, 2012
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)
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