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8.3 Ratios in Right Triangles

8.3 Ratios in Right Triangles. To find trig ratios using right triangles To solve problems using trig ratios. Background. A. hypotenuse. Adjacent. B. C. opposite. trigonometry- the word comes from 2 Greek words trigon-meaning triangle metron meaning measure.

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8.3 Ratios in Right Triangles

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  1. 8.3 Ratios in Right Triangles To find trig ratios using right triangles To solve problems using trig ratios

  2. Background A hypotenuse Adjacent B C opposite trigonometry- the word comes from 2 Greek words trigon-meaning triangle metron meaning measure. A ratio of the lengths of sides of a right triangle .

  3. Watch this video...

  4. SOH CAH TOA AN OS pposi te pposi te djacent ypotenuse IN ypotenuse djacent What to remember

  5. Example Find sin A, cos A, tan A, sin B, cos B, and tan B. Express each ratio as a fraction and as a decimal B 13 5 A C 12

  6. Example Find the value of each ratio to the nearest ten-thousandth sin 7o = .1219 cos 30o = .8660 Example Find the measure of each angle to the nearest tenth degree tan C = 9.4618 sin A = .7245 A = sin-1 .7245 C = 84o A = 46.4o

  7. Example Find x determine the relationship between the given angle and the sides x 63o cross multiply solve for x 20 .891x = 20 x = 22.45

  8. Homework • Put this in your agenda • Pg 416 17 - 37 odd, 38 - 49

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