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if sin α + sin β = a and cos α + cos β = b , then the value of coz ( α + β ) is if sinα+sinβ=a and cosα+cosβ=b, then the value of coz(α+β) is
Dear Studentsinα+sinβ=a on squaringsin2α+sin2β+ 2 sinαsinβ=a2......(i)cosα+cosβ=bon squaringcos2α+cos2β + 2.cosαcosβ=b2.....(ii)Adding equation i and iisin2α+sin2β+ 2sinαsinβ+cos2α+cos2β + 2.cosαcosβ = a2 + b2since sin2A + cos2A = 12 + 2(cosαcosβ+sinαsinβ) =a2+ b2cos(α- β)=cosαcosβ+sinαsinβ= (a2+ b2–2)/2Thanks
if sinα+sinβ=a and cosα+cosβ=b, then the value of coz(α+β) isDear Hiba Ismail,Find the solution in the attached file
Dear student ,Greeting of dayPlease find attached the solution in a image file,I hope this will clear your doubts and will help in your studyThanks
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