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Tanmay
Questions (1)
100g of calcium carbonate was decomposed by heating to produce 45g of calcium oxide and carbon dioxide, using the equation
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Answers (3)
But how?
The trick here is to recall that 1 = cos^a+sin^2A cos2A/(1+sin2A) (cos^2A-sin^2A)/(1+2sinAcosA) (cos^2A-sin^2A)/(cos^2A+2sinAcosA+sin^2A) (cosA+sinA)(cosA-sinA)/(cosA+sinA)^2 (cosA-sinA)/(cosA+sinA) (cotA-1)/(cotA+1)
secAcotB-secA-2cotB+2=0 (1/cosA)(cosB/sinB) - (1/cosA)- 2(cosB/sinB) = -2 multiply each term by sinBcosA cosB - sinB - 2cosBcosA = -2cosAsinB cosB - sinB - 2cosBcosA + 2cosAsinB = 0 (cosB - sinB) - 2cosA(cosB - sinB) = 0 (cosB - sinB)(1 - 2cosA) = 0 cosB =