CBSE Class 10 Answered
a cot? + b cosec ? =p and b cot ? + a cosec ? =q then what is p2-q2
Asked by Naveen S Nair | 22 Sep, 2013, 10:07: AM
Expert Answer
p2= (a cot ? + b cosec ?)2 = a2 cot2 ? + b2 cosec2? + 2ab cot ? cosec ?
q2= (b cot ? + a cosec ?)2 = b2cot2? + a2 cosec2? + 2ab cot ? cosec ?
p2- q2 = a2 cot2 ? + b2 cosec2? + 2ab cot ? cosec ? - (b2cot2? + a2 cosec2? + 2ab cot ? cosec ?)
= a2 cot2 ? - a2 cosec2? + b2 cosec2? - b2cot2?
= a2 (cot 2 ? - cosec2 ? ) + b 2 ( cosec2? - cot2?)
= a 2 (-1) + b 2 (1)
= b 2 - a 2
Answered by | 22 Sep, 2013, 01:57: PM
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