if sin α + sin β = a and cos α + cos β = b , then the value of coz ( α + β ) is

Question

Harshit Singh · Answer

Dear Student sin&alpha;+sin&beta;=a on squaring sin 2 &alpha;+sin 2 &beta;+ 2 sin&alpha;sin&beta;=a 2 ......(i) cos&alpha;+cos&beta;=b on squaring cos 2 &alpha;+cos 2 &beta; + 2.cos&alpha;cos&beta;=b 2 .....(ii) Adding equation i and ii sin 2 &alpha;+sin 2 &beta;+ 2sin&alpha;sin&beta;+cos 2 &alpha;+cos 2 &beta; + 2.cos&alpha;cos&beta; = a 2 + b 2 since sin 2 A + cos 2 A = 1 2 + 2(cos&alpha;cos&beta;+sin&alpha;sin&beta;) =a 2 + b 2 cos(&alpha;- &beta;)=cos&alpha;cos&beta;+sin&alpha;sin&beta;= (a 2 + b 2 &ndash;2)/2 Thanks

Ram Kushwah · Answer

if sin α + sin β = a and cos α + cos β = b , then the value of coz ( α + β ) is Dear Hiba Ismail, Find the solution in the attached file

Ram Kushwah · Answer

Dear student , Greeting of day Please find attached the solution in a image file, I hope this will clear your doubts and will help in your study Thanks

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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

if sinα+sinβ=a and cosα+cosβ=b, then the value of coz(α+β) is

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