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Home / Doubts and Solutions/ICSE/Class 11 Science/Mathematics

Prove that

a) 1+( cos 2A+cos 6A)/cos4A= sin3A/sin A

Asked by vijaygireesh 29th August 2019, 9:53 PM
Answered by Expert
Answer:
L H S equals 1 plus fraction numerator cos 2 A plus cos 6 A over denominator cos 4 A end fraction equals 1 plus fraction numerator 2 cos 4 A space cos 2 A over denominator cos 4 A end fraction equals 1 plus 2 cos 2 A equals 1 plus 2 open parentheses 1 minus 2 sin squared A close parentheses equals 3 minus 4 sin squared A R H S equals fraction numerator sin 3 A over denominator sin A end fraction equals fraction numerator 3 sin A minus 4 sin cubed A over denominator sin A end fraction equals 3 minus 4 sin squared A H e n c e comma space 1 plus fraction numerator cos 2 A plus cos 6 A over denominator cos 4 A end fraction equals fraction numerator sin 3 A over denominator sin A end fraction
Answered by Expert 30th August 2019, 10:04 AM
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