1_-_Trigonometry - CE and ME 221 CE AND ME 221 STATICS CE...

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CE and ME 221
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CE AND ME 221 STATICS CE 221 Statics ME 222 Mechanics of Deformable Solids CE 305 CE 312 CE 321 CE 337 ME 423 ME 425 ME 426 ME 477 ME 495
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TRIGONOMETRY If A = 90 o and the lengths AB and AC are equal, then; θ A B C β Angle Angle θ θ = Angle = Angle β β = 45 = 45 o Angle Angle θ θ > Angle > Angle β β Angle Angle θ θ < Angle < Angle β β Cannot be determined Cannot be determined
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TRIGONOMETRY If A = 90 o , AB = 4” and AC = 3”, then; θ A B C 3” BC = ? 4” β a) BC = 1” b) BC = 7” c) BC = 25” d) BC = 5” 5 4 3 2 2 = + = BC
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TRIGONOMETRY Right Triangle (sides relative to angle b) Adjacent Opposite Hypotenuse A C a B b c
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TRIGONOMETRY Right Triangle (AC) 2 + (BC) 2 = (AB) 2 a + b + c = 180 o A a C c b B
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TRIGONOMETRY Sin (b) = Opposite/hypotenuse = AC/AB Cos (b) = Adjacent/Hypotenuse = CB/ AB Tan (b) = Opposite/Adjacent = AC/CB = Sin(b)/Cos(b) Cot (b) = Adjacent/Opposite = CB/AC = 1/Tan(b) A a C c b B
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TRIGONOMETRY a)BC = 5” b) Angle θ = 48.6 o c) Angle θ = 53.13 o d) Angle β = 36.87 o If If α α = 90 = 90 o , AB = 3”, and AC = 4 then , AB = 3”, and AC = 4 then o 13 . 53 3 4 tan θ 1 - = = θ A B C 4” 5” 3” β α
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TRIGONOMETRY Cot Tan Sin Cos Tan a Cot a Cos a Sin a Circle with a radius of unit length a
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TRIGONOMETRY Circle with a unit diameter A Sin a A D iameter a
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