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Unit 1 – Physics Math Algebra, Geometry and Trig.

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Vocabulary RatioPythagorean theoremsquare root right angle triangle Hypotenuse3,4,5, Triangle vectorssinecosinetangent Complimentary anglesadjacent opposite SOHCAHTOA

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Algebra, Geometry and Trig. In an equation such as being able to solve for a, b, or c correctly is extremely important. Example: solve for "d" in the equation Multiplying both sides by “t” gives us: v t = d or d = v t

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Algebra, Geometry &Trig. PYTHAGOREAN THEOREM In a right angled triangle: the square of the hypotenuse is equal to the sum of the squares of the other two sides. a 2 + b 2 = c 2 Example: A “3,4,5” triangle has a right angle in it. 3 2 + 4 2 = 5 2 9 + 16 = 25 If solving for one side: c = √a 2 + b 2 c = 5 ________

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Algebra, Geometry & Trigonometry Sine, Cosine, and Tangent The three Trig. functions of Sine, Cosine, and Tangent are very important to the study of vectors in physics. All three functions are defined as ratios of lengths of sides in a right triangle (a triangle with one angle being 90 degrees). The sum of the other two of the three angles present in the right triangle add up to 90 degrees and are called complementary angles.

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Algebra, Geometry & Trigonometry SINE The Sine function is described as the ratio of the length of the side opposite a defined angle (other than the 90 degree angle) to the length of the hypotenuse. In equation form it is written as: sin Ө = opp/hyp SOHCAHTOA

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Algebra, Geometry & Trigonometry COSINE The Cosine function is described as the ratio of the length of the side adjacent to a defined angle (other than the 90 degree angle) to the length of the hypotenuse. In equation form it is written as: cos Ө = adj/hyp SOHCAHTOA

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Algebra, Geometry & Trigonometry TANGENT The Tangent function is described as the ratio of the length of the opposite side to a defined angle (other than the 90 degree angle) to the length of the side adjacent the defined angle. In equation form it is written as: tan Ө = opp/adj SOHCAHTOA

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