InterviewSolution
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InterviewSolution
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a cot theta + b cosec theta =p, b cot theta +a cosec theta =q, then find value of p^2 –q^2 |
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Answer» a cotA + b cosecA =pb cotA + a cosecA=qso p2 -q2\xa0= (\xa0a cotA + b cosecA)2 - (b cotA + a cosecA)2=cot2A( a2-b2) +cosec2A (b2-a2) + 2ab cotA cosecA- 2ab cotA cosecA=( a2-b2) (cot2A-cosec2A)=\xa0( a2-b2)(-1)=b2-a2 a2 + b2 |
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