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Right Triangle Trigonometry

SOH CAH TOA. CHO SHA CAO. Right Triangle Trigonometry. Graphing the Inverse Trig Function. Warm - up. 1. 2. 2. Setting up graph. Draw your “y” & “x”–axis Split x-axis into 4 equal parts Label your amp. & periods Graph the function. 2. 2. B/4. B/2. B/4 +B/2. B. 2. 3.

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Right Triangle Trigonometry

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  1. SOH CAH TOA CHO SHA CAO Right Triangle Trigonometry Graphing the Inverse Trig Function

  2. Warm - up 1. 2. 2

  3. Setting up graph • Draw your “y” & “x”–axis • Split x-axis into 4 equal parts • Label your amp. & periods • Graph the function 2 2 B/4 B/2 B/4 +B/2 B 2 3

  4. Graphing Sine Functions • Sine starts at the middle of the graph and it goes up, down, down, up. Passing through each period. Y=5sin2X 4

  5. Graphing Cosine Functions • Cosine starts at the top of the graph and it goes down, down, up, up. Passing through each period. y=2cos3πX 5

  6. π π/2 π/4 3π/4 Graphing the inverse of Sine Function: CSC Example: Graph csc 2X Amplitude: 1 Period: 2π/2 = π 6

  7. 4π 2π π 3π Graphing the inverse of Cosine Function: sec • Example: • y=2 sec 1/2 X • Amp= 2 • Period= 2π/(1/2) • 4 π 7

  8. Your Turn! 1. 2. 8

  9. Warm-up: graph the following trigonometric functions 1. 2 sin ¼ x 2. -cos 2x 3. ½ csc ½ x 4. 4 sec 6x 9

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