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Home / Doubts and Solutions/JEE/Mathematics

Prove that

qsnImg
Asked by Anish 11th July 2018, 1:37 PM
Answered by Expert
Answer:
sin55º - sin19º + sin53º - sin17º
begin mathsize 16px style sin 55 degree plus sin 53 degree minus open parentheses sin 19 degree plus sin 17 degree close parentheses equals 2 sin 54 degree cos 1 degree minus 2 sin 18 degree cos 1 degree equals 2 cos 1 degree open parentheses sin 54 degree minus sin 18 degree close parentheses equals 2 cos 1 degree cross times 2 cos 36 degree sin 18 degree equals 4 cos 1 degree cos 36 degree sin 18 degree cos 36 degree equals fraction numerator square root of 5 plus 1 over denominator 4 end fraction space and space sin 18 degree equals fraction numerator square root of 5 minus 1 over denominator 4 end fraction find space 4 cos 36 degree sin 18 degree. space we space get space the space value space of space 4 cos 36 degree sin 18 degree equals 1 Hence comma space sin 55 degree plus sin 53 degree minus open parentheses sin 19 degree plus sin 17 degree close parentheses equals cos 1 degree end style
 
 
Answered by Expert 11th July 2018, 4:12 PM
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