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physics 125

# physics 125 - A Poor Mans Students Guide to Trigonometry...

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1 A Poor Man’s Student’s Guide to Trigonometry Trigonometric Functions (just ratios with fancy names) Triangles & Rotation & Oscillations: motions are related We will use the Trig functions when working with __________ triangles.

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2 Ex: a c b Pythagorean Th m : a 2 + b 2 = c 2 Is true only for ________ triangles. θ 2 feet ? 3 feet
3 sinθ, cosθ, and tanθ are all just ratios of two sides. 2 feet 3 feet 13 feet, ~ 3.6 feet θ There are a few important ratios that are given fancy names: The sine of θ: sin θ = hyp op The cosine of θ: cos θ = hyp adj The tangent of θ: tan θ = adj op For the triangle we just had: The sine of θ: sin θ = hyp op = feet feet 13 3 = 0.832 θ adjacent side , a hypotenuse, c opposite side, b

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4 The cosine of θ: cos θ = hyp adj = feet feet 13 2 = 0.555 The tangent of θ: tan θ = adj op = feet feet 2 3 = 1.5 We can use these ratios to find the angle θ. We had sin
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physics 125 - A Poor Mans Students Guide to Trigonometry...

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