Спростіть вираз:
1) sin(pi/2-α)
2) sin(pi-α)
3) cos(-α+270`)
4) cos(α-180`)
5) cos^2(3pi-α)
6) sin(3/pi+α)
1) sin(pi/2-α)
2) sin(pi-α)
3) cos(-α+270`)
4) cos(α-180`)
5) cos^2(3pi-α)
6) sin(3/pi+α)
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Verified answer
Используем формулы приведения:
1) sin(π/2 - α) = cosα
2) sin(π - α) = sinα
3) cos(-α + 270°) = cos(270° - α) = - sinα
4) cos(α - 180°) = cos(180° - α) = - cosα
5) cos²(3π - α) = ( cos(3π - α) )² = ( - cosα )² = cos²α
6) sin(3π + α) = - sinα