Calcule o seno e cosseno dos ângulos 45° e 75°
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sen(a+b)=senacosb+senbcosa
cos(a+b)=cosacosab-senasenb
sen45=cos45=R2/2
sen75=sen(45+30)=sen45cos30+sen30cos45=R2/2×R3/2+1/2×R2/2=R6/4+R2/4=
cos75=cos45cos30-sen45sen30=R2/2×R3/2-R2/2×1/2=R6/4-R2/4
cos(a+b)=cosacosab-senasenb
sen45=cos45=R2/2
sen75=sen(45+30)=sen45cos30+sen30cos45=R2/2×R3/2+1/2×R2/2=R6/4+R2/4=
cos75=cos45cos30-sen45sen30=R2/2×R3/2-R2/2×1/2=R6/4-R2/4
lourdesvitor:
obigadooooo!
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