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cos 2A +cos 2B +cos 2C =-1-4cosA.cosB.cosC
Asked by ved.sorathiya4848 | 10 Aug, 2023, 09:26: PM
answered-by-expert Expert Answer
LHS equals cos 2 straight A plus cos 2 straight B plus cos 2 straight C
equals left parenthesis 2 cos squared straight A minus 1 right parenthesis plus 2 cos left parenthesis straight B plus straight C right parenthesis cos left parenthesis straight B minus straight C right parenthesis
equals negative 1 plus 2 cos squared straight A minus 2 cosAcos left parenthesis straight B minus straight C right parenthesis
equals negative 1 plus 2 cosA left square bracket cosA minus cos left parenthesis straight B minus straight C right parenthesis right square bracket
equals negative 1 plus 2 cosA left square bracket negative cos left parenthesis straight B plus straight C right parenthesis minus cos left parenthesis straight B minus straight C right parenthesis right square bracket
equals negative 1 plus 2 cosA left curly bracket negative left square bracket cos left parenthesis straight B plus straight C right parenthesis plus cos left parenthesis straight B minus straight C right parenthesis right square bracket right curly bracket
equals negative 1 minus 2 cosA left square bracket 2 cosBcosC right square bracket
equals negative 1 minus 4 cosAcosBcosC
equals RHS
Answered by Rashmi Khot | 11 Aug, 2023, 10:15: AM
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