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ICSE Class 10 Answered

PROVE THAT: cos6x=32cos^6 x-48cos^4 x +18cos^2 x -1
Asked by keshavendu35 | 17 Aug, 2018, 12:09: AM
answered-by-expert Expert Answer
begin mathsize 18px style cos 6 straight x equals 32 cos to the power of 6 straight x minus 48 cos to the power of 4 straight x plus 18 cos squared straight x minus 1
cos 6 straight x space equals space 2 open parentheses cos space 3 straight x close parentheses squared minus 1
equals 2 open parentheses 4 space cos cubed straight x space minus space 3 space cos space straight x close parentheses squared minus 1
equals 2 open parentheses 16 space cos to the power of 6 straight x plus 9 space cos squared straight x minus 24 space cos to the power of 4 straight x close parentheses minus 1
equals 34 space cos to the power of 6 straight x space minus 48 space cos to the power of 4 straight x space plus space 18 space cos squared straight x space minus 1 end style
Answered by Arun | 17 Aug, 2018, 11:07: AM
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