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Published byMonica Buzzard Modified over 2 years ago

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(x, y) r Use Pythagorean Theorem: x 2 + y 2 = r 2 Note: x can be and y can be (depending on the Quadrant) Since r is the radius, it must be (+) because it is a length. ’’ A reference angle, ’, is the smallest, positive degree measure from the terminal side to the x-axis.

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y y x x r r Cosine: Sine: Tangent: Secant: Cosecant: Cotangent: cos = x sin = y tan = y sec = r csc = r cot = x

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If the terminal ray of angle in standard position contains (x, y) on the unit circle, then cos = x and sin = y or (cos , sin ) = (x, y). -1 ≤ cos ≤ 1 and -1 ≤ sin ≤ 1 Look at x-values and y- values so far on the unit circle b/c radius is always 1

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A. Finding trig values using calculator: Use a calculator. Round to the nearest four decimal places. a) Sin 45° sin 45 enter NOTE: Make sure your calculator is in degree mode. b) cos 20° cos 20 enter

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entercos entersin B. Finding angles using trig values and a calculator: If 0 < < 90 , what is ? Round angles to the nearest tenth. a) sin NOTE: Make sure your calculator is in degree mode. b) cos nd You’re “undoing” sine = 32.0 2nd = 43.8

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sin cos = sin cos y y x x r r Cosine: Sine: Tangent: Secant: Cosecant: Cotangent: cos = x sin = y tan = y sec = r csc = r cot = x = cos = 1

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