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[ 0001_michaela: Half angle identities and others ]
| 1.1 sin(22.5°) |
sin(22.5°) = sqrt((1 - cos(45°))/2) = 0.3822683... |
| 1.1 sin(22.5°) |
cos((5/12)*π) = cos(150°/2) = sqrt((1 + cos(150°))/2
= sqrt(((1 - sqrt(3/2)/2) = 0.258819... |
2.1 sin(a) = 15/17
(0° < a < 90°) |
sin(a) = 15/17, cos(a) sqrt(1 - (15/17)^2) = 8/17
sin(2*a) = 2*sin(a)*cos(a) = 240/289 |
2.3 cos(a) = -8/17
(180° < a < 270°) |
sin(a) = 8/17, cos(a) = 15/17
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| 3.1 y = -sin(x + 30°) |
| 3.2 y = -4*sin(2*x/3 + π/6) |
| 3.3 y = -20*sin(x - 60°) |
4.1
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4.2
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4.3
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[ Half angle identities and others ]
[ Solids created by rotation ]
[ Areas bounded ]
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