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CBSE Class 12-science Answered

need answer for 12 question
question image
Asked by vhymag | 07 Aug, 2020, 07:12: AM
answered-by-expert Expert Answer
tan2alpha tan2beta+tan2beta tan2gamma+tan2alpha tan2gamma+2 tan2alpha tan2beta tan2gamma = 1
TO find the value of sin2alpha + sin2beta + sin2gamma
tan squared straight alpha space tan squared straight beta space plus space tan squared straight beta space tan squared straight gamma space plus space tan squared straight gamma space tan squared straight alpha space plus space 2 space tan squared straight alpha space tan squared straight beta space tan squared straight gamma space equals space 1
rightwards double arrow space sin squared straight alpha space sin squared straight beta space cos squared straight gamma space plus space cos squared straight alpha space sin squared straight beta space sin squared straight gamma space plus space sin squared straight gamma space sin squared straight alpha space cos squared straight beta space plus space 2 space sin squared straight alpha space sin squared straight beta space sin squared straight gamma space equals space cos squared straight alpha space cos squared straight beta space cos squared straight gamma
rightwards double arrow space sin squared straight alpha space sin squared straight beta space open parentheses 1 minus sin squared straight gamma close parentheses space plus space open parentheses 1 minus sin squared straight alpha close parentheses space sin squared straight beta space sin squared straight gamma space plus space sin squared straight gamma space sin squared straight alpha space open parentheses 1 minus sin squared straight beta close parentheses space plus space 2 space sin squared straight alpha space sin squared straight beta space sin squared straight gamma space equals space cos squared straight alpha space cos squared straight beta space cos squared straight gamma
rightwards double arrow sin squared straight alpha space sin squared straight beta space plus space sin squared straight beta space sin squared straight gamma space plus space sin squared straight gamma space sin squared straight alpha space minus space 3 space sin squared straight alpha space sin squared straight beta space sin squared straight gamma space plus space plus space 2 space sin squared straight alpha space sin squared straight beta space sin squared straight gamma equals open parentheses 1 minus sin squared straight alpha close parentheses open parentheses 1 minus sin squared straight beta close parentheses open parentheses 1 minus sin squared straight gamma close parentheses
rightwards double arrow sin squared straight alpha space sin squared straight beta space plus space sin squared straight beta space sin squared straight gamma space plus space sin squared straight gamma space sin squared straight alpha space minus space sin squared straight alpha space sin squared straight beta space sin squared straight gamma space equals
space space space space space 1 minus sin squared straight alpha minus sin squared straight beta minus sin squared straight gamma plus sin squared straight alpha space sin squared straight beta space plus space sin squared straight beta space sin squared straight gamma space plus space sin squared straight gamma space sin squared straight alpha minus sin squared straight alpha space sin squared straight beta space sin squared straight gamma
rightwards double arrow 0 equals space 1 minus sin squared straight alpha minus sin squared straight beta minus sin squared straight gamma
rightwards double arrow space sin squared straight alpha plus sin squared straight beta plus sin squared straight gamma equals 1
Answered by Renu Varma | 13 Aug, 2020, 12:06: PM
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