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The Inverse Cosine Function

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Recap on inverse cosine, sine, and tangent functions with practical examples. Solve angles of elevation and trigonometric equations effortlessly. Get ready for your homework!

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The Inverse Cosine Function

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  1. The Inverse CosineFunction Lesson 5.3

  2. Reminder… y = cos x

  3. Reminder… y = cos x

  4. Remember… y = sin x

  5. Remember… y = sin x

  6. Remember… y = tan x • Lorem

  7. y = tan-1 x • Lorem

  8. To summarize 

  9. Example 1 • The top of the crossbar in each goal post in high school football is 10 feet off the ground. Express the measure of the angle of elevation θ from a point halfway between the sidelines to the top of the crossbar as a function of the distance d in yards from a point directly below the middle of the crossbar. crossbar 10 feet θ d Point on field

  10. Example 2 • If x < 0 and y > 0, write cos (sin-1(x/y)) in terms of x and y. 2nd quadrant  cos is negative x2 + ?2 = y2 y ?2 = y2 – x2 x θ ?

  11. Example 3 • Solve sin x = -.8245 x = arcsin(-.8245) x = -55.54˚ + 360k 2.35.5378˚ + 360k OR -.9693 + 2πk, -2.1722+2πk

  12. Homework Pages 472 2, 14 - 17

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