Trigonometry new

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if sinÎ¸ = ksin(Î¸+Ï†)

prove that

tan(Î¸+Ï†)=sinÏ†cosÏ† - k

#Mathematics #Trignometry

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sakshi pandey pandey ·2009-12-14 06:17:34

sin @ = k sin (# + @)
=> sin@ = k sin @ cos# + kcos@ sin#
=> sin@ - k sin@cos # = kcos@ sin#
=> sin@ (1 - k cos #) = k cos @ sin#
=> tan@ =( k sin # )/ (1-k cos#)
now use tan (@+#) = ( tan @ + tan # )/( 1-tan@ tan#).............u will get RHS

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