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Question Number 170995 by Mastermind last updated on 05/Jun/22

Approximate sin46° by “differentials”    Mastermind

Approximatesin46°bydifferentialsMastermind

Commented by mr W last updated on 06/Jun/22

sin 46°=sin ((π/4)+(π/(180)))               ≈sin (π/4)+cos (π/4)×(π/(180))               =((√2)/2)(1+(π/(180)))               =(((180+π)(√2))/(360))≈0.719

sin46°=sin(π4+π180)sinπ4+cosπ4×π180=22(1+π180)=(180+π)23600.719

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