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Prove that 

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Asked by Anish 11th July 2018, 1:33 PM
Answered by Expert
Answer:
begin mathsize 16px style cosθ equals 1 half open parentheses straight x plus 1 over straight x close parentheses
cos 3 straight theta equals 4 cos cubed straight theta minus 3 cosθ
cos 3 straight theta equals 4 cross times 1 over 8 open parentheses straight x plus 1 over straight x close parentheses cubed minus 3 cross times 1 half open parentheses straight x plus 1 over straight x close parentheses
cos 3 straight theta equals 1 half open parentheses straight x plus 1 over straight x close parentheses cubed minus 3 over 2 open parentheses straight x plus 1 over straight x close parentheses
cos 3 straight theta equals 1 half open parentheses straight x plus 1 over straight x close parentheses open square brackets open parentheses straight x plus 1 over straight x close parentheses squared minus 3 close square brackets
cos 3 straight theta equals 1 half open parentheses straight x plus 1 over straight x close parentheses open parentheses straight x squared plus 2 plus 1 over straight x squared minus 3 close parentheses
cos 3 straight theta equals 1 half open parentheses straight x plus 1 over straight x close parentheses open parentheses straight x squared plus 1 over straight x squared minus 1 close parentheses
cos 3 straight theta equals 1 half open parentheses straight x cubed plus 1 over straight x cubed close parentheses end style
Answered by Expert 11th July 2018, 3:37 PM
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