Sin57cos27+cos57sin27= sin(57 + 27) = sin(84) ≈ 0.99
sin57cos27-cos57sin27= sin(57 - 27) = sin(30) = 1/2
2sin 75*cos75= sin2*75 = sin150 = sin(180 - 30) = sin30 = 1/2
2sin 75 - cos75 = 2si + 45) – cos(30 + 45) = 2sin30cos45 + 2cos30sin45 – cos30cos45 + sin30sin45 = 2*(1/2)*(√2/2) + 2*(√3/2)*(√2/2) - (√3/2)*(√2/2) + (1/2)* (√2/2) = 3√2/4<span> - √6/4</span>
<span>tg(a) + ctg(a) = 3
</span>(tg(a) + ctg(a))² = 9
tg²(a) + 2*tg(a)*ctg(a) + ctg²(a) = 9
tg²(a) + ctg²(a) = 9 - 2*tg(a)*ctg(a)
tg²(a) + ctg²(a) = 9 - 2 = 7
--------------------------------- известно: tg(a)*ctg(a) = 1
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(1/9)^2*27= (3^-2)^2*3^3=3^-4*3^3=3^-1=1/3
0.1^4*2000=0.1^4*0.2^4=(0.1*0.2)^4=(0.02)*4=200
200+1/3=200 1/3