trig circle - TRIGONOMETRY Definitions. cos θ = x...

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Unformatted text preview: TRIGONOMETRY Definitions. cos θ = x adjacent = hypotenuse r r y y opposite sin θ = = hypotenuse r θ tan θ = y opposite = adjacent x x Special Angle Triangles. √ 45◦ 2 1 2 60◦ 1 45◦ 1 30◦ √ 3 2 TRIGONOMETRY Unit Circle. Since the coordinates of each point on the circle centered at the origin having radius 1 are (cos θ, sin θ ) this is a convenient way of listing the values of the cos θ and sin θ . 0, 1 √ − 1 , 23 2 1 1 − √2 , √2 √ √ 1 , 23 2 1 1 √ ,√ 2 2 π/2 2π/3 3π/4 π/3 π/4 − 31 2 ,2 √ 31 2 ,2 5π/6 π/6 −1, 0 π 0 1, 0 7π/6 √ 11π/6 7π/4 5π/3 3π/2 √ 3 2 √ 1 3 , −2 2 − 1 3 , −2 2 1 1 − √2 , − √2 5π/4 4π/3 1 1 √ , −√ 2 2 √ 1 , − 23 2 −1, − 2 0, −1 x-coord = cos θ y -coord = sin θ ...
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This note was uploaded on 12/13/2008 for the course M 58365 taught by Professor Gilbert during the Fall '08 term at University of Texas at Austin.

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trig circle - TRIGONOMETRY Definitions. cos θ = x...

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