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Reference Angles Find the reference angle and Find Sin, Cos and Tan using reference angles.

Reference Angles Find the reference angle and Find Sin, Cos and Tan using reference angles. Find the reference angle. y. Most important idea is the triangle is always drawn to the x axis The reference angle is the Positive angle made in the triangle closest to the origin. . . ’. x. ’.

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Reference Angles Find the reference angle and Find Sin, Cos and Tan using reference angles.

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  1. Reference AnglesFind the reference angle and Find Sin, Cos and Tan using reference angles.

  2. Find the reference angle y • Most important idea is the triangle is always drawn to the x axis • The reference angle is the Positive angle made in the triangle closest to the origin   ’ x ’

  3. Find the reference angle y • Find the reference angle for 288 • Draw 288 angle • Draw triangle back to x axis • Find reference angle  x ’ ’ is what is left over from 360 360 – 288 = ’ = 72

  4. Find the reference angle y • Find the reference angle for 98 • Draw 98 angle • Draw triangle back to x axis • Find reference angle  ’ x ’ is what is left over from 180 180 – 98 = ’ = 82

  5. Find the reference angle y • Find the reference angle for -55 • Draw -55 angle • Draw triangle back to x axis • Find reference angle x ’  ’ is what is the same as measured from zero but the positive angle |-55| = ’ = 55

  6. Find the reference angle y • Find the reference angle for • Draw angle • Draw triangle back to x axis • Find reference angle  x ’ ’ is what is left over from 2

  7. Find the reference angle y • Find the reference angle for • Draw angle • Draw triangle back to x axis • Find reference angle  ’ x ’ is the difference of  and 

  8. Find the reference angle y • Find the reference angle for • Draw angle • Draw triangle back to x axis • Find reference angle x ’  ’ is the difference of  and -

  9. Find the Trig ratios of 315 without a calculator y • Find the reference angle for 315  ’ is what is what is left from 360 360 – 315 = ’ = 45 x ’ fourth quad Cos is positive, Sin and Tan are negative

  10. Find the Trig ratios of 210 without a calculator y • Find the reference angle for 210  ’ is what is how much more than 180 210 – 180 = ’ = 30 x ’ Third quad Tan is positive, Sin and Cos are negative

  11. Find the Trig ratios of without a calculator y • Find the reference angle for  ’ is what is how much more than  x ’ Third quad Tan is positive, Sin and Cos are negative

  12. Find the Trig ratios of without a calculator y • Find the reference angle for ’ is what is how much less than  x ’  second quad Sin is positive, Cos and Tan are negative

  13. S A C T Rule for positive functions y • All Students Take Calculus • A = all functions pos in Q I • S = Sine and csc pos in Q II • T = Tan and cot pos in Q III • C = Cos and sec pos in Q IV x

  14. Now, start your homework! y • Hw pg 499 • problems (35-85 odds) x

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